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	13104bo	Isogeny class
Conductor	13104	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	157277562624 = 28 · 39 · 74 · 13	Discriminant
Eigenvalues	2- 3+ -2 7- -2 13-  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1431,8370]	[a1,a2,a3,a4,a6]
j	64314864/31213	j-invariant
L	1.8222860423309	L(r)(E,1)/r!
Ω	0.91114302116543	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3276b2 52416ei2 13104bn2 91728cm2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13104bo2

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	-	4	4	4	4	0	-2	2	8	-6	0	6	2	-4	-10	-6	16	-14	-18	2

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Quadratic twists for elliptic curve 13104bo2

-4	8	-3	-7
3276b2	52416ei2	13104bn2	91728cm2

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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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