Atkin-Lehner |
2+ 7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
13286b |
Isogeny class |
Conductor |
13286 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
107920 |
Modular degree for the optimal curve |
Δ |
3482845184 = 219 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 3 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-682235,216837702] |
[a1,a2,a3,a4,a6] |
j |
35117596497404675783593/3482845184 |
j-invariant |
L |
0.79161723434498 |
L(r)(E,1)/r! |
Ω |
0.79161723434498 |
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 |
106288t1 119574z1 93002e1 |
Quadratic twists by: -4 -3 -7 |