Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320ch |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-13552110000 = -1 · 24 · 36 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,395,4850] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-390:1] |
Generators of the group modulo torsion |
j |
424908161024/847006875 |
j-invariant |
L |
7.990212395171 |
L(r)(E,1)/r! |
Ω |
0.86797099840137 |
Real period |
R |
0.76713511644659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8580b1 102960cw1 |
Quadratic twists by: -4 -3 |