Atkin-Lehner |
2- 3- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990bi |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
900 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
682262507520000 = 215 · 35 · 54 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44475,3380625] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-375:1] |
Generators of the group modulo torsion |
j |
9729089368311524401/682262507520000 |
j-invariant |
L |
10.256713937352 |
L(r)(E,1)/r! |
Ω |
0.49981619485712 |
Real period |
R |
0.02280107954993 |
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 |
101970j1 |
Quadratic twists by: -3 |