Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802cg |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-83707734096 = -1 · 24 · 36 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1093,123] |
[a1,a2,a3,a4,a6] |
Generators |
[17:144:1] |
Generators of the group modulo torsion |
j |
1685159/976 |
j-invariant |
L |
11.0952813206 |
L(r)(E,1)/r! |
Ω |
0.64725592556492 |
Real period |
R |
2.1427539096976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978g1 1098j1 |
Quadratic twists by: -3 -7 |