Atkin-Lehner |
2- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
117800q |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
747520 |
Modular degree for the optimal curve |
Δ |
10418471281250000 = 24 · 59 · 192 · 314 |
Discriminant |
Eigenvalues |
2- -2 5- -2 4 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55083,783838] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:2375:1] |
Generators of the group modulo torsion |
j |
591472191488/333391081 |
j-invariant |
L |
4.0656115395431 |
L(r)(E,1)/r! |
Ω |
0.35028219978592 |
Real period |
R |
1.4508343295188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117800k1 |
Quadratic twists by: 5 |