Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600ch |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4230144 |
Modular degree for the optimal curve |
Δ |
-3.571587809792E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4626408,-4790852812] |
[a1,a2,a3,a4,a6] |
Generators |
[140502211465169125910341844:34058196091273828835018432750:2387935535923509501203] |
Generators of the group modulo torsion |
j |
-24529249/8000 |
j-invariant |
L |
8.408370928617 |
L(r)(E,1)/r! |
Ω |
0.050630659185269 |
Real period |
R |
41.518178233908 |
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 |
14450h1 23120x1 115600bn1 |
Quadratic twists by: -4 5 17 |