Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976r |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2239488 |
Modular degree for the optimal curve |
Δ |
-1.7193732054886E+19 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18657528,-31013528464] |
[a1,a2,a3,a4,a6] |
Generators |
[612063991044342903975299115201475972742:-41660835841491105218894675413814648320038:80347759901452007551029312413140771] |
Generators of the group modulo torsion |
j |
-175358205925209173301625/4197688489962352 |
j-invariant |
L |
8.2037886649218 |
L(r)(E,1)/r! |
Ω |
0.036320800176123 |
Real period |
R |
56.467565590109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622f1 |
Quadratic twists by: -4 |