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
Conductor	13104	Conductor
Count	6	Number of curves in isogeny class
Curves	13104v1 13104v2 13104v3 13104v4 13104v5 13104v6	Curves in isogeny class
deg	8192	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 7+ -4 13- -2  4	Hecke eigenvalues for primes less than 20
L	5.0739801638487	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	6552l 52416et 4368d 91728ba	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 13104v

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

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Quadratic twists for isogeny class 13104v

-4	8	-3	-7
6552l	52416et	4368d	91728ba

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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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