Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850br |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
8.0966630045E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1531888,-587620608] |
[a1,a2,a3,a4,a6] |
Generators |
[-584:10680:1] |
Generators of the group modulo torsion |
j |
7061881225/1438208 |
j-invariant |
L |
7.1052038171734 |
L(r)(E,1)/r! |
Ω |
0.13764404290355 |
Real period |
R |
0.95592839418637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850t1 129850cs1 |
Quadratic twists by: 5 -7 |