Cremona's table of elliptic curves

6630 = 2 · 3 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13- 17-	Signs for the Atkin-Lehner involutions
Class	6630w	Isogeny class
Conductor	6630	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-5.842370724678E+25	Discriminant
Eigenvalues	2- 3- 5+ -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-411190526,-3230353542120]	[a1,a2,a3,a4,a6]
Generators	[52655313816204:-24249113301439352:246491883]	Generators of the group modulo torsion
j	-7688701694683937879808871873249/58423707246780395507812500	j-invariant
L	6.1140987265173	L(r)(E,1)/r!
Ω	0.016755667231776	Real period
R	15.204056638328	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	53040bp7 19890r8 33150b7 86190bm7	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630w8

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	0	-	-	-4	0	6	-4	2	6	-4	0	6	-12	-10	-4	-12	-10	-16	-12	-6	-10

---

Quadratic twists for elliptic curve 6630w8

-4	-3	5	13	17
53040bp7	19890r8	33150b7	86190bm7	112710cj7

---

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