Cremona's table of elliptic curves

78400 = 2⁶ · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	78400	Conductor
Count	4	Number of curves in isogeny class
Curves	78400gq1 78400gq2 78400gq3 78400gq4	Curves in isogeny class
deg	884736	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ 7-  0  2  2 -8	Hecke eigenvalues for primes less than 20
L	5.7918319894189	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	78400gp 39200d 15680dj 11200ch	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for isogeny class 78400gq

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
-	0	+	-	0	2	2	-8	8	-6	0	-2	6	-8	8	-2	-8	-2	-8	0	10	16	16	-10	-14

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Quadratic twists for isogeny class 78400gq

-4	8	5	-7
78400gp	39200d	15680dj	11200ch

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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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