Cremona's table of elliptic curves

13794 = 2 · 3 · 11² · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 19-	Signs for the Atkin-Lehner involutions
Class	13794bn	Isogeny class
Conductor	13794	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-50144544314568 = -1 · 23 · 34 · 118 · 192	Discriminant
Eigenvalues	2- 3- -2  2 11-  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,421,-340647]	[a1,a2,a3,a4,a6]
Generators	[76:325:1]	Generators of the group modulo torsion
j	4657463/28305288	j-invariant
L	8.1605840545989	L(r)(E,1)/r!
Ω	0.29317624599878	Real period
R	1.1597949705983	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	110352ba2 41382bg2 1254e2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 13794bn2

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
-	-	-2	2	-	2	-6	-	4	2	-10	-12	-2	0	-4	-12	-12	4	4	-2	-2	0	12	10	-10

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Quadratic twists for elliptic curve 13794bn2

-4	-3	-11
110352ba2	41382bg2	1254e2

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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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