Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33640g |
Isogeny class |
Conductor |
33640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
6899950523600 = 24 · 52 · 297 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203522,35339661] |
[a1,a2,a3,a4,a6] |
Generators |
[5675967:368660760:1331] |
Generators of the group modulo torsion |
j |
97960237056/725 |
j-invariant |
L |
5.9996347414431 |
L(r)(E,1)/r! |
Ω |
0.66974760338131 |
Real period |
R |
8.9580533191208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67280f1 1160c1 |
Quadratic twists by: -4 29 |