Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090o |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-67411547723520 = -1 · 28 · 314 · 5 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6435,-343035] |
[a1,a2,a3,a4,a6] |
Generators |
[58:443:1] |
Generators of the group modulo torsion |
j |
40420704083759/92471258880 |
j-invariant |
L |
4.3683827246379 |
L(r)(E,1)/r! |
Ω |
0.32037864916283 |
Real period |
R |
3.4087654959303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030cc1 |
Quadratic twists by: -3 |