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	4290m	Isogeny class
Conductor	4290	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	5488604550 = 2 · 310 · 52 · 11 · 132	Discriminant
Eigenvalues	2+ 3- 5- -4 11+ 13+  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2868,58756]	[a1,a2,a3,a4,a6]
Generators	[20:87:1]	Generators of the group modulo torsion
j	2607614922465721/5488604550	j-invariant
L	3.0888548900817	L(r)(E,1)/r!
Ω	1.3572621128988	Real period
R	0.22757983595996	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	34320bj2 12870bs2 21450br2 47190db2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4290m2

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
+	-	-	-4	+	+	4	-2	6	-6	-2	-8	6	4	-4	0	-4	-2	8	0	0	-8	-4	-18	-2

---

Quadratic twists for elliptic curve 4290m2

-4	-3	5	-11	13
34320bj2	12870bs2	21450br2	47190db2	55770cv2

---

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