Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90459n |
Isogeny class |
Conductor |
90459 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-3.1717287451854E+19 |
Discriminant |
Eigenvalues |
2 3- -3 -1 1 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,84111,270797877] |
[a1,a2,a3,a4,a6] |
Generators |
[1887886:70190051:2744] |
Generators of the group modulo torsion |
j |
609800192/293901291 |
j-invariant |
L |
8.6049605722829 |
L(r)(E,1)/r! |
Ω |
0.16196084597252 |
Real period |
R |
6.6412351943093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30153g1 3933f1 |
Quadratic twists by: -3 -23 |