Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855c |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-264275 = -1 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
0 -1 5+ 2 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-351,-2418] |
[a1,a2,a3,a4,a6] |
Generators |
[66:507:1] |
Generators of the group modulo torsion |
j |
-4990664704/275 |
j-invariant |
L |
3.8952997097648 |
L(r)(E,1)/r! |
Ω |
0.55136384473443 |
Real period |
R |
3.5324221446867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52855a1 |
Quadratic twists by: -31 |