Atkin-Lehner |
2+ 3+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
101592a |
Isogeny class |
Conductor |
101592 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
22548547584 = 211 · 33 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 0 -7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2067,-35442] |
[a1,a2,a3,a4,a6] |
Generators |
[54:102:1] |
Generators of the group modulo torsion |
j |
17662469526/407779 |
j-invariant |
L |
8.2769314794292 |
L(r)(E,1)/r! |
Ω |
0.70904700584801 |
Real period |
R |
1.9455530719194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101592h1 |
Quadratic twists by: -3 |