Cremona's table of elliptic curves

13616 = 2⁴ · 23 · 37

Field	Data	Notes
Atkin-Lehner	2- 23- 37+	Signs for the Atkin-Lehner involutions
Class	13616h	Isogeny class
Conductor	13616	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3520	Modular degree for the optimal curve
Δ	80171008 = 212 · 232 · 37	Discriminant
Eigenvalues	2- -1  0  3 -1  4  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-453,-3539]	[a1,a2,a3,a4,a6]
Generators	[-12:5:1]	Generators of the group modulo torsion
j	2515456000/19573	j-invariant
L	4.2528318756642	L(r)(E,1)/r!
Ω	1.0351395557162	Real period
R	2.0542311672757	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	851a1 54464v1 122544x1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 13616h1

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
-	-1	0	3	-1	4	0	-2	-	-8	-2	+	3	6	13	7	-14	-10	12	7	-9	10	-11	-4	-16

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Quadratic twists for elliptic curve 13616h1

-4	8	-3
851a1	54464v1	122544x1

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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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