Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ha |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-624760308375000 = -1 · 23 · 3 · 56 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20187,478617] |
[a1,a2,a3,a4,a6] |
Generators |
[788:22097:1] |
Generators of the group modulo torsion |
j |
10100279/6936 |
j-invariant |
L |
13.349376930805 |
L(r)(E,1)/r! |
Ω |
0.32406969169602 |
Real period |
R |
2.2884955725559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998c1 124950fv1 |
Quadratic twists by: 5 -7 |