Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050t |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-329690250000 = -1 · 24 · 39 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3613,86531] |
[a1,a2,a3,a4,a6] |
j |
-333822098953/21100176 |
j-invariant |
L |
3.7943705960282 |
L(r)(E,1)/r! |
Ω |
0.94859264900704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400dd1 30150r1 402d1 |
Quadratic twists by: -4 -3 5 |