Atkin-Lehner |
2+ 3+ 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630b |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17152 |
Modular degree for the optimal curve |
Δ |
-239613750 = -1 · 2 · 32 · 54 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-148,958] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:281:8] [-11:43:1] |
Generators of the group modulo torsion |
j |
-362314607689/239613750 |
j-invariant |
L |
5.0672950174793 |
L(r)(E,1)/r! |
Ω |
1.6240484232496 |
Real period |
R |
0.39002031473752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100890y1 |
Quadratic twists by: -3 |