Atkin-Lehner |
2- 61- |
Signs for the Atkin-Lehner involutions |
Class |
119072g |
Isogeny class |
Conductor |
119072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1083360 |
Modular degree for the optimal curve |
Δ |
748425349941385024 = 26 · 619 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226981,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-21989180825:-494614546374:76765625] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.3613239857024 |
L(r)(E,1)/r! |
Ω |
0.24025633047708 |
Real period |
R |
18.152795165516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119072g1 119072e1 |
Quadratic twists by: -4 61 |