Atkin-Lehner |
2- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109040t |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
32380518400000 = 218 · 55 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 3 5 -7 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,-233132] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1450:1] |
Generators of the group modulo torsion |
j |
23298085122481/7905400000 |
j-invariant |
L |
10.231451856635 |
L(r)(E,1)/r! |
Ω |
0.49660240709888 |
Real period |
R |
1.0301452123183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630j1 |
Quadratic twists by: -4 |