Atkin-Lehner |
3+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13113b |
Isogeny class |
Conductor |
13113 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7344 |
Modular degree for the optimal curve |
Δ |
-28678131 = -1 · 39 · 31 · 47 |
Discriminant |
Eigenvalues |
2 3+ -3 1 -6 -3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-189,-1033] |
[a1,a2,a3,a4,a6] |
j |
-37933056/1457 |
j-invariant |
L |
1.2847147681346 |
L(r)(E,1)/r! |
Ω |
0.64235738406732 |
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 |
13113c1 |
Quadratic twists by: -3 |