Atkin-Lehner |
2+ 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950f |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
3540121436250000 = 24 · 33 · 57 · 75 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1184375,495613125] |
[a1,a2,a3,a4,a6] |
Generators |
[15825:40475:27] [-950:28125:1] |
Generators of the group modulo torsion |
j |
11759042337234822001/226567771920 |
j-invariant |
L |
7.1415566788948 |
L(r)(E,1)/r! |
Ω |
0.40917480677345 |
Real period |
R |
0.87267795581961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590x1 |
Quadratic twists by: 5 |