Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975t |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-31381171875 = -1 · 36 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 0 -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-450,9281] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:112:1] |
Generators of the group modulo torsion |
j |
-884736/2755 |
j-invariant |
L |
3.8716975755111 |
L(r)(E,1)/r! |
Ω |
1.0296243789942 |
Real period |
R |
0.94007525105403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999721413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13775a1 24795e1 |
Quadratic twists by: -3 5 |