Cremona's table of elliptic curves

55 = 5 · 11

Field	Data	Notes
Atkin-Lehner	5- 11+	Signs for the Atkin-Lehner involutions
Conductor	55	Conductor
Count	4	Number of curves in isogeny class
Curves	55a1 55a2 55a3 55a4	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	1  0 5-  0 11+  2  6 -4	Hecke eigenvalues for primes less than 20
L	1.0286698561782	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	880i 3520e 495a 275a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 55a

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
1	0	-	0	+	2	6	-4	4	6	-8	-2	2	4	-12	-2	4	-10	-16	8	14	8	-4	10	10

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Quadratic twists for isogeny class 55a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47
880i	3520e	495a	275a	2695a	605b	9295c	15895e	19855b	29095a	46255i	52855j	75295c	92455m	101695a	121495c

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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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