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	6	Number of curves in isogeny class
Curves	5565c1 5565c2 5565c3 5565c4 5565c5 5565c6	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5- 7-  4 -2 -6 -4	Hecke eigenvalues for primes less than 20
L	0.94916637117862	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	89040cq 16695k 27825k 38955j	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5565c

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	-6	-4	0	-2	8	6	10	-4	0	-	-4	6	4	0	2	0	-4	2	2

---

Quadratic twists for isogeny class 5565c

-4	-3	5	-7
89040cq	16695k	27825k	38955j

---

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