Atkin-Lehner |
2+ 3+ 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934d |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-101794295538 = -1 · 2 · 39 · 13 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 -6 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1068,-20134] |
[a1,a2,a3,a4,a6] |
Generators |
[65:394:1] |
Generators of the group modulo torsion |
j |
-6848175699/5171686 |
j-invariant |
L |
3.5967388695844 |
L(r)(E,1)/r! |
Ω |
0.40429674108815 |
Real period |
R |
4.4481423454088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998923871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934bd1 |
Quadratic twists by: -3 |