Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768a |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
156032 |
Modular degree for the optimal curve |
Δ |
9423355627867392 = 28 · 323 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 0 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109545,13187061] |
[a1,a2,a3,a4,a6] |
j |
567891528853175296/36809982921357 |
j-invariant |
L |
0.40231325708478 |
L(r)(E,1)/r! |
Ω |
0.40231325708478 |
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 |
9384d1 75072cz1 56304p1 |
Quadratic twists by: -4 8 -3 |