Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
51442a |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
2337289081408 = 26 · 177 · 89 |
Discriminant |
Eigenvalues |
2+ 0 4 0 6 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9880,373248] |
[a1,a2,a3,a4,a6] |
j |
4419017721/96832 |
j-invariant |
L |
3.2699008764716 |
L(r)(E,1)/r! |
Ω |
0.81747521919047 |
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 |
3026a1 |
Quadratic twists by: 17 |