Atkin-Lehner |
2- 3- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31842z |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-137571392623086 = -1 · 2 · 313 · 294 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 2 2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11714,748959] |
[a1,a2,a3,a4,a6] |
j |
-243824355417817/188712472734 |
j-invariant |
L |
2.1402582979142 |
L(r)(E,1)/r! |
Ω |
0.53506457448026 |
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 |
10614e1 |
Quadratic twists by: -3 |