Atkin-Lehner |
2- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
117800q |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62619240500000000 = 28 · 59 · 194 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- -2 4 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-655708,203795088] |
[a1,a2,a3,a4,a6] |
Generators |
[502:1178:1] |
Generators of the group modulo torsion |
j |
62357086728848/125238481 |
j-invariant |
L |
4.0656115395431 |
L(r)(E,1)/r! |
Ω |
0.35028219978592 |
Real period |
R |
0.72541716475938 |
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 |
117800k2 |
Quadratic twists by: 5 |