Atkin-Lehner |
2- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38896m |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
188049498220593152 = 216 · 112 · 136 · 173 |
Discriminant |
Eigenvalues |
2- 2 0 4 11- 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151288,8864880] |
[a1,a2,a3,a4,a6] |
Generators |
[3804:233376:1] |
Generators of the group modulo torsion |
j |
93493211839989625/45910522026512 |
j-invariant |
L |
9.9656922563307 |
L(r)(E,1)/r! |
Ω |
0.28340288533487 |
Real period |
R |
0.97678887274229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862c1 |
Quadratic twists by: -4 |