Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6090r |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
65479680 = 210 · 32 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-116,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] |
Generators of the group modulo torsion |
j |
172715635009/65479680 |
j-invariant |
L |
4.8144960106266 |
L(r)(E,1)/r! |
Ω |
1.5017376847816 |
Real period |
R |
0.32059500533389 |
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 |
48720cl1 18270u1 30450bh1 42630dn1 |
Quadratic twists by: -4 -3 5 -7 |