Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30624i |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
42628608 = 29 · 32 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,88] |
[a1,a2,a3,a4,a6] |
j |
148877000/83259 |
j-invariant |
L |
1.7565148526251 |
L(r)(E,1)/r! |
Ω |
1.7565148526259 |
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 |
30624f2 61248z2 91872k2 |
Quadratic twists by: -4 8 -3 |