Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825u |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
247705078125 = 3 · 511 · 19 · 89 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 0 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9508,-359231] |
[a1,a2,a3,a4,a6] |
Generators |
[-297738566776:144540926333:5231776256] |
Generators of the group modulo torsion |
j |
6084387721216/15853125 |
j-invariant |
L |
17.621374745623 |
L(r)(E,1)/r! |
Ω |
0.48355008245512 |
Real period |
R |
18.220837000446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000157587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365g1 |
Quadratic twists by: 5 |