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	4	Number of curves in isogeny class
Curves	13104o1 13104o2 13104o3 13104o4	Curves in isogeny class
deg	5120	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 7+ -4 13+ -2 -4	Hecke eigenvalues for primes less than 20
L	5.797226347778	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	6552v 52416fi 4368f 91728bo	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 13104o

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	-4	-10	-8	2	-10	-4	-8	6	-8	2	8	8	6	-8	8	-2	14

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Quadratic twists for isogeny class 13104o

-4	8	-3	-7
6552v	52416fi	4368f	91728bo

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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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