Atkin-Lehner |
2- 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040cr |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1956908800 = 28 · 52 · 7 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112927,-14606454] |
[a1,a2,a3,a4,a6] |
j |
622124234701336656/7644175 |
j-invariant |
L |
2.0834843181818 |
L(r)(E,1)/r! |
Ω |
0.26043545478453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29260h2 |
Quadratic twists by: -4 |