Atkin-Lehner |
2+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84878c |
Isogeny class |
Conductor |
84878 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1272600298864 = -1 · 24 · 31 · 376 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-941,55637] |
[a1,a2,a3,a4,a6] |
j |
-35937/496 |
j-invariant |
L |
0.72910348303975 |
L(r)(E,1)/r! |
Ω |
0.72910336699099 |
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 |
62a1 |
Quadratic twists by: 37 |