Cremona's table of elliptic curves

40 = 2³ · 5

Field	Data	Notes
Atkin-Lehner	2+ 5-	Signs for the Atkin-Lehner involutions
Conductor	40	Conductor
Count	4	Number of curves in isogeny class
Curves	40a1 40a2 40a3 40a4	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	2+  0 5- -4  4 -2  2  4	Hecke eigenvalues for primes less than 20
L	0.74220623671119	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	80a 320b 360e 200c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 40a

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

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Quadratic twists for isogeny class 40a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53
80a	320b	360e	200c	1960b	4840g	6760g	11560a	14440h	21160c	33640h	38440e	54760c	67240e	73960b	88360c	112360c

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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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