Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190be |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-4998714163200 = -1 · 216 · 33 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -5 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57683,5347827] |
[a1,a2,a3,a4,a6] |
Generators |
[-277:258:1] [137:-18:1] |
Generators of the group modulo torsion |
j |
-786133687817944467/185137561600 |
j-invariant |
L |
11.046516834226 |
L(r)(E,1)/r! |
Ω |
0.74826507482227 |
Real period |
R |
0.076889786495241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35190d1 |
Quadratic twists by: -3 |