Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077x |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
6325323374103867133 = 716 · 114 · 13 |
Discriminant |
Eigenvalues |
1 1 2 7- 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29906000,-62950906427] |
[a1,a2,a3,a4,a6] |
j |
1717274406596164537/3672178237 |
j-invariant |
L |
3.4862119070838 |
L(r)(E,1)/r! |
Ω |
0.064559480926104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011k1 77077o1 |
Quadratic twists by: -7 -11 |