Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342x |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-143572486554 = -1 · 2 · 39 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,18253] |
[a1,a2,a3,a4,a6] |
j |
-27/62 |
j-invariant |
L |
3.3199685337313 |
L(r)(E,1)/r! |
Ω |
0.8299921334328 |
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 |
27342b1 558e1 |
Quadratic twists by: -3 -7 |