Atkin-Lehner |
2- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33350s |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
45120 |
Modular degree for the optimal curve |
Δ |
2732032000 = 215 · 53 · 23 · 29 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -3 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-750,7677] |
[a1,a2,a3,a4,a6] |
Generators |
[9:35:1] [-15:131:1] |
Generators of the group modulo torsion |
j |
372781634373/21856256 |
j-invariant |
L |
7.4111538219851 |
L(r)(E,1)/r! |
Ω |
1.4135481163874 |
Real period |
R |
0.17476480486862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33350g1 |
Quadratic twists by: 5 |