Cremona's table of elliptic curves

13965 = 3 · 5 · 7² · 19

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	13965y	Isogeny class
Conductor	13965	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	592623794675390625 = 36 · 58 · 78 · 192	Discriminant
Eigenvalues	-1 3- 5- 7-  0 -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-340110,-66786525]	[a1,a2,a3,a4,a6]
Generators	[-405:2340:1]	Generators of the group modulo torsion
j	36982286260265809/5037219140625	j-invariant
L	3.7090398235121	L(r)(E,1)/r!
Ω	0.19947888855985	Real period
R	0.77473524689959	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	41895bb2 69825n2 1995a2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 13965y2

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

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Quadratic twists for elliptic curve 13965y2

-3	5	-7
41895bb2	69825n2	1995a2

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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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