Cremona's table of elliptic curves

103488 = 2⁶ · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	103488hx	Isogeny class
Conductor	103488	Conductor
∏ cp	34	Product of Tamagawa factors cp
deg	221952	Modular degree for the optimal curve
Δ	-49003009691328 = -1 · 26 · 317 · 72 · 112	Discriminant
Eigenvalues	2- 3- -2 7- 11+ -5 -4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,5941,288987]	[a1,a2,a3,a4,a6]
Generators	[-38:99:1] [34:729:1]	Generators of the group modulo torsion
j	7393553366528/15625959723	j-invariant
L	11.913794941162	L(r)(E,1)/r!
Ω	0.43989229407451	Real period
R	0.79657165697142	Regulator
r	2	Rank of the group of rational points
S	0.99999999995342	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	103488gp1 51744w1 103488ev1	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 103488hx1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-2	-	+	-5	-4	-1	-2	-2	-1	5	0	-3	0	4	2	-10	-11	-10	-11	5	-18	-18	-14

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Quadratic twists for elliptic curve 103488hx1

-4	8	-7
103488gp1	51744w1	103488ev1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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