Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376bg |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-59424768 = -1 · 214 · 32 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 5 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91,-195] |
[a1,a2,a3,a4,a6] |
j |
5030912/3627 |
j-invariant |
L |
2.2216589745983 |
L(r)(E,1)/r! |
Ω |
1.1108294997676 |
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 |
77376w1 19344g1 |
Quadratic twists by: -4 8 |