Cremona's table of elliptic curves

10304 = 2⁶ · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 23+	Signs for the Atkin-Lehner involutions
Conductor	10304	Conductor
Count	2	Number of curves in isogeny class
Curves	10304k1 10304k2	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	2+ -2 -4 7- -4  2 -4  0	Hecke eigenvalues for primes less than 20
L	3.7720039890626	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	10304z 1288d 92736cs 72128h	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 10304k

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	-	-4	2	-4	0	+	-2	-6	-2	-6	4	-10	-6	2	-8	4	-16	6	0	-12	-4	-8

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Quadratic twists for isogeny class 10304k

-4	8	-3	-7
10304z	1288d	92736cs	72128h

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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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