Cremona's table of elliptic curves

13104 = 2⁴ · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	13104w	Isogeny class
Conductor	13104	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-3.8371518506216E+19	Discriminant
Eigenvalues	2+ 3-  2 7+ -4 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1559379,-806587598]	[a1,a2,a3,a4,a6]
Generators	[28476374898:-1861580067380:6128487]	Generators of the group modulo torsion
j	-280880296871140514/25701087819771	j-invariant
L	5.1096815065256	L(r)(E,1)/r!
Ω	0.067200809662429	Real period
R	19.009002764227	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	6552m6 52416eu5 4368k6 91728bb5	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13104w6

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

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Quadratic twists for elliptic curve 13104w6

-4	8	-3	-7
6552m6	52416eu5	4368k6	91728bb5

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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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