Atkin-Lehner |
2- 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50344h |
Isogeny class |
Conductor |
50344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
1611008 = 28 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 5 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,53] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
16000000/6293 |
j-invariant |
L |
8.839618442383 |
L(r)(E,1)/r! |
Ω |
2.4275586855055 |
Real period |
R |
1.8206806894401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688h1 |
Quadratic twists by: -4 |