Atkin-Lehner |
2- 3+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300b |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
96913260000000 = 28 · 36 · 57 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11508,-34488] |
[a1,a2,a3,a4,a6] |
j |
42140629456/24228315 |
j-invariant |
L |
3.0068609223588 |
L(r)(E,1)/r! |
Ω |
0.50114355689935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460o2 |
Quadratic twists by: 5 |