Cremona's table of elliptic curves

6090 = 2 · 3 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	6090d	Isogeny class
Conductor	6090	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2403308880 = -1 · 24 · 36 · 5 · 72 · 292	Discriminant
Eigenvalues	2+ 3+ 5- 7+ -4  4  4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,313,-891]	[a1,a2,a3,a4,a6]
Generators	[10:53:1]	Generators of the group modulo torsion
j	3374325044999/2403308880	j-invariant
L	2.5548741995421	L(r)(E,1)/r!
Ω	0.81744090854181	Real period
R	0.78136357406543	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	48720cw2 18270bl2 30450cw2 42630bo2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090d2

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	4	0	-4	-	-4	-8	6	-12	12	0	0	2	-12	6	14	-14	4	-10	6

---

Quadratic twists for elliptic curve 6090d2

-4	-3	5	-7
48720cw2	18270bl2	30450cw2	42630bo2

---

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