Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600cc |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-8.05212389376E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1373592,1216083312] |
[a1,a2,a3,a4,a6] |
Generators |
[16264:18172375:512] |
Generators of the group modulo torsion |
j |
4478336057868191/12581443584000 |
j-invariant |
L |
6.0960806846157 |
L(r)(E,1)/r! |
Ω |
0.11171346890556 |
Real period |
R |
6.8211120203266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950v1 12720y1 |
Quadratic twists by: -4 5 |