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	15400d	Isogeny class
Conductor	15400	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	294912	Modular degree for the optimal curve
Δ	-1.838127404575E+20	Discriminant
Eigenvalues	2+  0 5+ 7- 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1298425,-318107750]	[a1,a2,a3,a4,a6]
Generators	[1335:61600:1]	Generators of the group modulo torsion
j	60522147178827696/45953185114375	j-invariant
L	4.672009327561	L(r)(E,1)/r!
Ω	0.10045207175844	Real period
R	1.9379098101945	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	30800a1 123200bh1 3080c1 107800l1	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 15400d1

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	0	6	0	2	-6	4	0	10	0	-6	-12	-8	14	-16	16	-6	-10

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Quadratic twists for elliptic curve 15400d1

-4	8	5	-7
30800a1	123200bh1	3080c1	107800l1

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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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