Atkin-Lehner |
2- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334bb |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
465977232952 = 23 · 72 · 117 · 61 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ 11- 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2120,-18424] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:138:1] [-22:144:1] |
Generators of the group modulo torsion |
j |
594823321/263032 |
j-invariant |
L |
15.263984837344 |
L(r)(E,1)/r! |
Ω |
0.73292317834975 |
Real period |
R |
0.86775720435991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394b1 |
Quadratic twists by: -11 |