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	103488ce	Isogeny class
Conductor	103488	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	172032	Modular degree for the optimal curve
Δ	-309013512192 = -1 · 218 · 37 · 72 · 11	Discriminant
Eigenvalues	2+ 3+  4 7- 11-  0  7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1279,19713]	[a1,a2,a3,a4,a6]
Generators	[177:2400:1]	Generators of the group modulo torsion
j	17999471/24057	j-invariant
L	8.3870316634828	L(r)(E,1)/r!
Ω	0.65269480795448	Real period
R	3.2124629852515	Regulator
r	1	Rank of the group of rational points
S	1.0000000022182	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	103488ib1 1617h1 103488cq1	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 103488ce1

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
+	+	4	-	-	0	7	-5	-9	-1	-2	3	2	1	-7	0	7	-10	12	-15	4	-8	4	-12	1

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Quadratic twists for elliptic curve 103488ce1

-4	8	-7
103488ib1	1617h1	103488cq1

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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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