Cremona's table of elliptic curves

11310 = 2 · 3 · 5 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13- 29-	Signs for the Atkin-Lehner involutions
Class	11310j	Isogeny class
Conductor	11310	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	1575939143610000 = 24 · 38 · 54 · 134 · 292	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-78895,-8345755]	[a1,a2,a3,a4,a6]
Generators	[-167:538:1]	Generators of the group modulo torsion
j	54309086480107021681/1575939143610000	j-invariant
L	6.0189813289774	L(r)(E,1)/r!
Ω	0.28536951819021	Real period
R	1.318242871372	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	90480cb4 33930j4 56550w4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11310j3

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	-	-6	4	0	-	0	6	2	-12	0	6	-4	-2	12	-8	-6	-8	12	18	2

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Quadratic twists for elliptic curve 11310j3

-4	-3	5
90480cb4	33930j4	56550w4

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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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