Atkin-Lehner |
2- 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646w |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5183146853499312 = -1 · 24 · 324 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33340,-2559337] |
[a1,a2,a3,a4,a6] |
Generators |
[243:4333:1] |
Generators of the group modulo torsion |
j |
5622185649818375/7109940814128 |
j-invariant |
L |
7.8787654059027 |
L(r)(E,1)/r! |
Ω |
0.23030100939075 |
Real period |
R |
4.276341116972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882g1 |
Quadratic twists by: -3 |