Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300bg |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
349056 |
Modular degree for the optimal curve |
Δ |
775306080000 = 28 · 36 · 54 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -1 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22108,1257188] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-102:1] [-112:1530:1] |
Generators of the group modulo torsion |
j |
7469159630800/4845663 |
j-invariant |
L |
12.472233859283 |
L(r)(E,1)/r! |
Ω |
0.88785726956864 |
Real period |
R |
0.13007005830974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300i1 |
Quadratic twists by: 5 |