Atkin-Lehner |
2+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
178b |
Isogeny class |
Conductor |
178 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28 |
Modular degree for the optimal curve |
Δ |
1458176 = 214 · 89 |
Discriminant |
Eigenvalues |
2+ 2 2 0 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44,80] |
[a1,a2,a3,a4,a6] |
j |
9759185353/1458176 |
j-invariant |
L |
1.2901924240049 |
L(r)(E,1)/r! |
Ω |
2.5803848480099 |
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 |
1424e1 5696h1 1602c1 4450n1 |
Quadratic twists by: -4 8 -3 5 |