Atkin-Lehner |
2- 3- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31734n |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
380205370621034496 = 220 · 314 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-182534,4616853] |
[a1,a2,a3,a4,a6] |
j |
922625101256316697/521543718273024 |
j-invariant |
L |
5.1852444403472 |
L(r)(E,1)/r! |
Ω |
0.25926222201764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10578c1 |
Quadratic twists by: -3 |