Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300y |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
202536748800 = 28 · 32 · 52 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1468,-892] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:138:1] [-8:102:1] |
Generators of the group modulo torsion |
j |
54703827280/31646367 |
j-invariant |
L |
12.583780692487 |
L(r)(E,1)/r! |
Ω |
0.84510386149762 |
Real period |
R |
0.41361716545265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300q1 |
Quadratic twists by: 5 |