Atkin-Lehner |
2- 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
129780m |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
1.4274595986328E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5780928,-5318913427] |
[a1,a2,a3,a4,a6] |
Generators |
[14357629265075458266310196:-2808528420130803117573311347:373719112633497477952] |
Generators of the group modulo torsion |
j |
1831761312420311597056/12238165283203125 |
j-invariant |
L |
7.7639254163583 |
L(r)(E,1)/r! |
Ω |
0.097403597915413 |
Real period |
R |
39.854407536978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43260b1 |
Quadratic twists by: -3 |