Atkin-Lehner |
2- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23312d |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-381943808 = -1 · 218 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 1 -2 0 4 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56,-908] |
[a1,a2,a3,a4,a6] |
j |
4657463/93248 |
j-invariant |
L |
1.6449419712968 |
L(r)(E,1)/r! |
Ω |
0.82247098564841 |
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 |
2914c1 93248x1 |
Quadratic twists by: -4 8 |