Atkin-Lehner |
2+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13754b |
Isogeny class |
Conductor |
13754 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119232 |
Modular degree for the optimal curve |
Δ |
-688196938649428 = -1 · 22 · 133 · 238 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 5 13+ 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101138,12469464] |
[a1,a2,a3,a4,a6] |
j |
-1460987577/8788 |
j-invariant |
L |
1.0244125759649 |
L(r)(E,1)/r! |
Ω |
0.51220628798246 |
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 |
110032h1 123786z1 13754a1 |
Quadratic twists by: -4 -3 -23 |