Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738h |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6745600 |
Modular degree for the optimal curve |
Δ |
5.5532239835261E+23 |
Discriminant |
Eigenvalues |
2+ 0 3 2 0 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42416798,100113325332] |
[a1,a2,a3,a4,a6] |
Generators |
[1053384:74636001:512] |
Generators of the group modulo torsion |
j |
319214136749607/21003416576 |
j-invariant |
L |
6.2389431279714 |
L(r)(E,1)/r! |
Ω |
0.090550586475523 |
Real period |
R |
3.4450042627219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55738c1 |
Quadratic twists by: -31 |