Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728df |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
15418938743619264 = 26 · 318 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-822584,-286820226] |
[a1,a2,a3,a4,a6] |
Generators |
[14520152218400401588667819981674176906:-865918477967885277314603300238509140449:3826997239741999942753137223636424] |
Generators of the group modulo torsion |
j |
961800591034340273728/240920917869051 |
j-invariant |
L |
4.7497124475634 |
L(r)(E,1)/r! |
Ω |
0.15852982289 |
Real period |
R |
59.922005348708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728fa1 24864j2 |
Quadratic twists by: -4 8 |