Cremona's table of elliptic curves

5565 = 3 · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	3+ 5- 7- 53-	Signs for the Atkin-Lehner involutions
Conductor	5565	Conductor
Count	8	Number of curves in isogeny class
Curves	5565d1 5565d2 5565d3 5565d4 5565d5 5565d6 5565d7 5565d8	Curves in isogeny class
deg	11264	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5- 7- -4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	0.63618858554734	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	89040cp 16695j 27825l 38955k	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5565d

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

---

Quadratic twists for isogeny class 5565d

-4	-3	5	-7
89040cp	16695j	27825l	38955k

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations