Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090co |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-1.6289807982228E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32439962,-71110752551] |
[a1,a2,a3,a4,a6] |
Generators |
[12209:1156903:1] |
Generators of the group modulo torsion |
j |
-191810959369837990116507/8276079856844800 |
j-invariant |
L |
12.116390004218 |
L(r)(E,1)/r! |
Ω |
0.031629938797518 |
Real period |
R |
2.9927119858516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090f1 |
Quadratic twists by: -3 |