Atkin-Lehner |
2- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550w |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1702473781250000 = 24 · 59 · 114 · 612 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11+ 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29888,-132719] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:6851:27] |
Generators of the group modulo torsion |
j |
1511767988333/871666576 |
j-invariant |
L |
13.498016448413 |
L(r)(E,1)/r! |
Ω |
0.39575518599175 |
Real period |
R |
4.2633732058958 |
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 |
33550l2 |
Quadratic twists by: 5 |