Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077ba |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
16064571790119853 = 78 · 118 · 13 |
Discriminant |
Eigenvalues |
-1 -3 2 7- 11- 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167124,-25538334] |
[a1,a2,a3,a4,a6] |
j |
20469537/637 |
j-invariant |
L |
0.47314845586074 |
L(r)(E,1)/r! |
Ω |
0.23657421927096 |
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 |
11011d1 77077m1 |
Quadratic twists by: -7 -11 |