Atkin-Lehner |
3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31635i |
Isogeny class |
Conductor |
31635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
87878708325 = 36 · 52 · 194 · 37 |
Discriminant |
Eigenvalues |
0 3- 5- 1 5 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1362,13072] |
[a1,a2,a3,a4,a6] |
Generators |
[32:47:1] |
Generators of the group modulo torsion |
j |
383290015744/120546925 |
j-invariant |
L |
5.2851882440984 |
L(r)(E,1)/r! |
Ω |
0.99474449654842 |
Real period |
R |
0.66413891487174 |
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 |
3515a1 |
Quadratic twists by: -3 |