Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bi |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1081034206117858944 = -1 · 27 · 39 · 712 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32404,49965423] |
[a1,a2,a3,a4,a6] |
j |
43874924183/12604443264 |
j-invariant |
L |
5.9859968790168 |
L(r)(E,1)/r! |
Ω |
0.21378560282202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114d1 3906w1 |
Quadratic twists by: -3 -7 |