Atkin-Lehner |
2+ 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850o |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
186390720000000000 = 215 · 36 · 510 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-151575,9127125] |
[a1,a2,a3,a4,a6] |
Generators |
[-12044:362539:64] |
Generators of the group modulo torsion |
j |
39437636193025/19086409728 |
j-invariant |
L |
5.1112503017331 |
L(r)(E,1)/r! |
Ω |
0.28418792554059 |
Real period |
R |
8.9927294903655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cr1 |
Quadratic twists by: 5 |