Atkin-Lehner |
3+ 13- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421d |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-2371742451 = -1 · 39 · 132 · 23 · 31 |
Discriminant |
Eigenvalues |
0 3+ 1 0 0 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31482,-2150017] |
[a1,a2,a3,a4,a6] |
j |
-175315115999232/120497 |
j-invariant |
L |
0.71682630667003 |
L(r)(E,1)/r! |
Ω |
0.17920658440492 |
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 |
83421c1 |
Quadratic twists by: -3 |