Atkin-Lehner |
3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717ba |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-1.3563293920571E+19 |
Discriminant |
Eigenvalues |
2 3- 3 -2 11- 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,534699,-93535027] |
[a1,a2,a3,a4,a6] |
j |
13090860306432/10502230211 |
j-invariant |
L |
7.9392685903108 |
L(r)(E,1)/r! |
Ω |
0.12405107176531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6413i1 5247b1 |
Quadratic twists by: -3 -11 |