Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496x |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-692726629119146496 = -1 · 29 · 39 · 74 · 315 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 -5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5373,-40043862] |
[a1,a2,a3,a4,a6] |
j |
1702209384/68738591551 |
j-invariant |
L |
0.52768408242632 |
L(r)(E,1)/r! |
Ω |
0.13192102051286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496e1 124992c1 62496a1 |
Quadratic twists by: -4 8 -3 |