Atkin-Lehner |
3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18921b |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152320 |
Modular degree for the optimal curve |
Δ |
37842624393 = 3 · 77 · 172 · 53 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2727980,-1735379901] |
[a1,a2,a3,a4,a6] |
Generators |
[92881710585321717722995264032085030640632136750:-3512226274791807854592219898460191781958265638947:34902042336477472735554331824459688185546875] |
Generators of the group modulo torsion |
j |
2245161089156970257799625/37842624393 |
j-invariant |
L |
4.4072260957721 |
L(r)(E,1)/r! |
Ω |
0.11747331881213 |
Real period |
R |
75.033652583193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56763g1 |
Quadratic twists by: -3 |