Cremona's table of elliptic curves

47040 = 2⁶ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	47040	Conductor
Count	8	Number of curves in isogeny class
Curves	47040cf1 47040cf2 47040cf3 47040cf4 47040cf5 47040cf6 47040cf7 47040cf8	Curves in isogeny class
deg	442368	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  0  2  6 -4	Hecke eigenvalues for primes less than 20
L	7.3597136575065	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	47040ec 1470m 6720l	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for isogeny class 47040cf

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	2	6	-4	0	6	4	-2	-6	-8	12	-6	-12	2	-8	0	-14	-16	12	-6	-14

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Quadratic twists for isogeny class 47040cf

-4	8	-7
47040ec	1470m	6720l

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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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