Cremona's table of elliptic curves

4290 = 2 · 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11- 13-	Signs for the Atkin-Lehner involutions
Class	4290d	Isogeny class
Conductor	4290	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	6103466141778720 = 25 · 34 · 5 · 118 · 133	Discriminant
Eigenvalues	2+ 3+ 5+  0 11- 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1877518,-990978668]	[a1,a2,a3,a4,a6]
Generators	[1657:20407:1]	Generators of the group modulo torsion
j	731941550287276688155369/6103466141778720	j-invariant
L	2.1633904453993	L(r)(E,1)/r!
Ω	0.12897445890216	Real period
R	1.3978158051694	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34320bv4 12870ca4 21450cn4 47190bn4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290d3

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

---

Quadratic twists for elliptic curve 4290d3

-4	-3	5	-11	13
34320bv4	12870ca4	21450cn4	47190bn4	55770cb4

---

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