Cremona's table of elliptic curves

15400 = 2³ · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	15400b	Isogeny class
Conductor	15400	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2049740000000000 = 211 · 510 · 7 · 114	Discriminant
Eigenvalues	2+  0 5+ 7+ 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-32675,650750]	[a1,a2,a3,a4,a6]
Generators	[9730:335625:8]	Generators of the group modulo torsion
j	120564797922/64054375	j-invariant
L	4.3428095613375	L(r)(E,1)/r!
Ω	0.40754680620147	Real period
R	5.3279887061495	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800l3 123200l3 3080e3 107800i3	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15400b3

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	+	+	+	2	-2	0	4	2	8	-2	6	-12	0	-10	-4	-2	-12	8	6	4	12	2	10

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Quadratic twists for elliptic curve 15400b3

-4	8	5	-7
30800l3	123200l3	3080e3	107800i3

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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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