Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10440bc |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-3567543750000 = -1 · 24 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109947,14032411] |
[a1,a2,a3,a4,a6] |
Generators |
[197:-135:1] |
Generators of the group modulo torsion |
j |
-12601619217266944/305859375 |
j-invariant |
L |
5.2600500933011 |
L(r)(E,1)/r! |
Ω |
0.73165072656507 |
Real period |
R |
0.11233267421695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20880bb1 83520bb1 3480f1 52200w1 |
Quadratic twists by: -4 8 -3 5 |