Atkin-Lehner |
2+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200b |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-3180479680000000 = -1 · 212 · 57 · 7 · 175 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195800,33458000] |
[a1,a2,a3,a4,a6] |
Generators |
[-296:8092:1] [265:425:1] |
Generators of the group modulo torsion |
j |
-12971249127936/49694995 |
j-invariant |
L |
10.524948017828 |
L(r)(E,1)/r! |
Ω |
0.45051984134832 |
Real period |
R |
0.58404464420415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200h1 19040p1 |
Quadratic twists by: -4 5 |