Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077v |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-18966436588099 = -1 · 77 · 116 · 13 |
Discriminant |
Eigenvalues |
0 2 3 7- 11- 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43479,3510352] |
[a1,a2,a3,a4,a6] |
j |
-43614208/91 |
j-invariant |
L |
2.7530558038341 |
L(r)(E,1)/r! |
Ω |
0.68826393702086 |
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 |
11011c1 637b1 |
Quadratic twists by: -7 -11 |