Atkin-Lehner |
2- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84878g |
Isogeny class |
Conductor |
84878 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
84878 = 2 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 0 2 -2 -4 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109,-409] |
[a1,a2,a3,a4,a6] |
j |
103719177/62 |
j-invariant |
L |
1.4786664326827 |
L(r)(E,1)/r! |
Ω |
1.4786665114803 |
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 |
84878d1 |
Quadratic twists by: 37 |