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	13794m	Isogeny class
Conductor	13794	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1500203663824338 = -1 · 2 · 32 · 116 · 196	Discriminant
Eigenvalues	2+ 3-  0  4 11-  4 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-50581,4754330]	[a1,a2,a3,a4,a6]
Generators	[-56:2750:1]	Generators of the group modulo torsion
j	-8078253774625/846825858	j-invariant
L	4.9395031011042	L(r)(E,1)/r!
Ω	0.46522405819798	Real period
R	2.6543678331239	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	110352bj4 41382bu4 114a4	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 13794m4

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

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Quadratic twists for elliptic curve 13794m4

-4	-3	-11
110352bj4	41382bu4	114a4

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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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