Atkin-Lehner |
2- 3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050bp |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2099200 |
Modular degree for the optimal curve |
Δ |
4365018000000000 = 210 · 32 · 59 · 74 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-635513,-195238969] |
[a1,a2,a3,a4,a6] |
Generators |
[1071:18280:1] |
Generators of the group modulo torsion |
j |
14533393498158653/2234889216 |
j-invariant |
L |
10.504062197391 |
L(r)(E,1)/r! |
Ω |
0.16909176167529 |
Real period |
R |
3.1060242452476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050bb1 |
Quadratic twists by: 5 |