Atkin-Lehner |
3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128877j |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
-381977316355131 = -1 · 33 · 72 · 17 · 198 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -4 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4573,-934285] |
[a1,a2,a3,a4,a6] |
Generators |
[109:920:1] |
Generators of the group modulo torsion |
j |
622592/22491 |
j-invariant |
L |
2.1771198566388 |
L(r)(E,1)/r! |
Ω |
0.25741723719618 |
Real period |
R |
4.2287763670017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128877t1 |
Quadratic twists by: -19 |