Atkin-Lehner |
2+ 3+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090b |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
29729700 = 22 · 33 · 52 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120,-404] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] |
Generators of the group modulo torsion |
j |
7111117467/1101100 |
j-invariant |
L |
4.7956743981403 |
L(r)(E,1)/r! |
Ω |
1.4569207936107 |
Real period |
R |
0.82291268509914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090cj1 |
Quadratic twists by: -3 |