Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bn |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
399969981651240000 = 26 · 310 · 54 · 72 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-321804,-63253872] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:-29496:1] [-327:2796:1] |
Generators of the group modulo torsion |
j |
5055583142742245569/548655667560000 |
j-invariant |
L |
8.6739541128988 |
L(r)(E,1)/r! |
Ω |
0.20185834272957 |
Real period |
R |
1.3428281555395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992728 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030bo2 |
Quadratic twists by: -3 |