Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077j |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-3.8862073895828E+23 |
Discriminant |
Eigenvalues |
0 -2 1 7- 11- 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-94160425,352927747442] |
[a1,a2,a3,a4,a6] |
Generators |
[33854:5997183:1] |
Generators of the group modulo torsion |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
3.5202036165305 |
L(r)(E,1)/r! |
Ω |
0.095479864077489 |
Real period |
R |
4.6085680602688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011n1 7007b1 |
Quadratic twists by: -7 -11 |