Cremona's table of elliptic curves

4522 = 2 · 7 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 17- 19-	Signs for the Atkin-Lehner involutions
Class	4522j	Isogeny class
Conductor	4522	Conductor
∏ cp	384	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	2056066601910272 = 216 · 72 · 173 · 194	Discriminant
Eigenvalues	2-  0 -2 7-  4 -2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-35821,-1422763]	[a1,a2,a3,a4,a6]
Generators	[-135:1036:1]	Generators of the group modulo torsion
j	5083062654573191457/2056066601910272	j-invariant
L	4.9478166750899	L(r)(E,1)/r!
Ω	0.35946291787393	Real period
R	0.57351959792708	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	36176s1 40698l1 113050e1 31654n1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4522j1

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	-	4	-2	-	-	-8	-6	4	2	-2	4	0	-2	-4	-10	-12	-12	10	-4	-4	-6	6

---

Quadratic twists for elliptic curve 4522j1

-4	-3	5	-7	17	-19
36176s1	40698l1	113050e1	31654n1	76874u1	85918v1

---

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