Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bs |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
165296276734892688 = 24 · 312 · 75 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-209750,-31323819] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:2397:1] |
Generators of the group modulo torsion |
j |
1399910113896729625/226743863833872 |
j-invariant |
L |
8.8961647543356 |
L(r)(E,1)/r! |
Ω |
0.22553270249407 |
Real period |
R |
2.465320062688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498e1 |
Quadratic twists by: -3 |