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	6	Number of curves in isogeny class
Curves	78400il1 78400il2 78400il3 78400il4 78400il5 78400il6	Curves in isogeny class
deg	442368	Modular degree for the optimal curve
Eigenvalues	2- -2 5+ 7-  0  4  6 -2	Hecke eigenvalues for primes less than 20
L	4.8385777513091	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	78400cc 19600cp 3136y 11200co	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for isogeny class 78400il

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

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Quadratic twists for isogeny class 78400il

-4	8	5	-7
78400cc	19600cp	3136y	11200co

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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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