Cremona's table of elliptic curves

7524 = 2² · 3² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 19-	Signs for the Atkin-Lehner involutions
Class	7524f	Isogeny class
Conductor	7524	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	-5111255685888 = -1 · 28 · 37 · 113 · 193	Discriminant
Eigenvalues	2- 3-  0  2 11-  5 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,3120,-85628]	[a1,a2,a3,a4,a6]
Generators	[29:171:1]	Generators of the group modulo torsion
j	17997824000/27387987	j-invariant
L	4.6599676691718	L(r)(E,1)/r!
Ω	0.40544425285807	Real period
R	0.95779046406557	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	30096t2 120384k2 2508a2 82764g2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 7524f2

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	-	5	-3	-	-6	0	-4	-10	-6	-4	-6	-3	-3	2	2	-9	8	-1	-3	-9	-10

---

Quadratic twists for elliptic curve 7524f2

-4	8	-3	-11
30096t2	120384k2	2508a2	82764g2

---

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