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	103488bo	Isogeny class
Conductor	103488	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	368640	Modular degree for the optimal curve
Δ	-2250167726112768 = -1 · 234 · 35 · 72 · 11	Discriminant
Eigenvalues	2+ 3+  0 7- 11-  4  1 -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-17313,-2439135]	[a1,a2,a3,a4,a6]
Generators	[5582759:27664384:29791]	Generators of the group modulo torsion
j	-44681709625/175177728	j-invariant
L	5.833759845805	L(r)(E,1)/r!
Ω	0.19007235693048	Real period
R	7.6730776859392	Regulator
r	1	Rank of the group of rational points
S	1.0000000005308	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	103488hm1 3234l1 103488cl1	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 103488bo1

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
+	+	0	-	-	4	1	-3	-1	1	-6	3	6	-1	1	0	7	6	4	-15	-12	0	-16	8	-7

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Quadratic twists for elliptic curve 103488bo1

-4	8	-7
103488hm1	3234l1	103488cl1

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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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