Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877r |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
1.0105646449679E+19 |
Discriminant |
Eigenvalues |
0 3- 1 7- 0 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-583135,77162503] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:9205:1] |
Generators of the group modulo torsion |
j |
466133351366656/214804064349 |
j-invariant |
L |
6.9783200363828 |
L(r)(E,1)/r! |
Ω |
0.20501801486393 |
Real period |
R |
2.8364662026116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783b1 |
Quadratic twists by: -19 |