Atkin-Lehner |
2- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
61798j |
Isogeny class |
Conductor |
61798 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4121280 |
Modular degree for the optimal curve |
Δ |
-2.9169412074008E+19 |
Discriminant |
Eigenvalues |
2- -3 2 4 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,679251,-145403979] |
[a1,a2,a3,a4,a6] |
j |
556683327/468512 |
j-invariant |
L |
2.3161798084985 |
L(r)(E,1)/r! |
Ω |
0.11580899022978 |
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 |
61798c1 |
Quadratic twists by: 53 |