Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104ba |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-48970919088 = -1 · 24 · 37 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,-10649] |
[a1,a2,a3,a4,a6] |
j |
-2725888/4198467 |
j-invariant |
L |
2.0422335904705 |
L(r)(E,1)/r! |
Ω |
0.51055839761762 |
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 |
6552h1 52416fy1 4368m1 91728x1 |
Quadratic twists by: -4 8 -3 -7 |