Atkin-Lehner |
2- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950bc |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
16345214843750 = 2 · 514 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -3 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6730,-83853] |
[a1,a2,a3,a4,a6] |
Generators |
[-4620:11739:64] |
Generators of the group modulo torsion |
j |
2157189905961/1046093750 |
j-invariant |
L |
8.1587712296342 |
L(r)(E,1)/r! |
Ω |
0.55339817743026 |
Real period |
R |
7.3715197867634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390c1 |
Quadratic twists by: 5 |