Atkin-Lehner |
2+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550g |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1964822200000000 = 29 · 58 · 115 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31375,153125] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:1560:1] |
Generators of the group modulo torsion |
j |
218613268577521/125748620800 |
j-invariant |
L |
3.6349795011818 |
L(r)(E,1)/r! |
Ω |
0.39823827313304 |
Real period |
R |
0.91276498177453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710h1 |
Quadratic twists by: 5 |