Atkin-Lehner |
3+ 13+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
27807a |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-2723111703 = -1 · 36 · 132 · 23 · 312 |
Discriminant |
Eigenvalues |
1 3+ -2 4 2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,344,691] |
[a1,a2,a3,a4,a6] |
j |
4481515613303/2723111703 |
j-invariant |
L |
1.76680521513 |
L(r)(E,1)/r! |
Ω |
0.88340260756487 |
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 |
83421h1 |
Quadratic twists by: -3 |