Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360do |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
25715432230502400 = 214 · 32 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74080,813428] |
[a1,a2,a3,a4,a6] |
j |
454756609/260100 |
j-invariant |
L |
5.1627827500781 |
L(r)(E,1)/r! |
Ω |
0.32267392222579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8670r2 4080t2 |
Quadratic twists by: -4 17 |