Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650bq |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
5086946242968750 = 2 · 35 · 58 · 232 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-118826,15377798] |
[a1,a2,a3,a4,a6] |
Generators |
[6:3826:1] |
Generators of the group modulo torsion |
j |
474999176965945/13022582382 |
j-invariant |
L |
6.2002493718878 |
L(r)(E,1)/r! |
Ω |
0.42976462535106 |
Real period |
R |
0.48090272793257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999207782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650bv1 |
Quadratic twists by: 5 |