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	4522h	Isogeny class
Conductor	4522	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	21277249028 = 22 · 74 · 17 · 194	Discriminant
Eigenvalues	2-  2  4 7- -2  2 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1091,-12419]	[a1,a2,a3,a4,a6]
j	143622619359409/21277249028	j-invariant
L	6.7114317251169	L(r)(E,1)/r!
Ω	0.83892896563961	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36176n1 40698u1 113050n1 31654u1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4522h1

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
-	2	4	-	-2	2	+	-	4	0	-4	4	-6	-8	-8	2	0	8	0	-8	-6	-8	8	2	2

---

Quadratic twists for elliptic curve 4522h1

-4	-3	5	-7	17	-19
36176n1	40698u1	113050n1	31654u1	76874x1	85918m1

---

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