Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368d |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
44123845147667712 = 28 · 39 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 5 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1296540,568143828] |
[a1,a2,a3,a4,a6] |
j |
169344000/31 |
j-invariant |
L |
2.7946198271692 |
L(r)(E,1)/r! |
Ω |
0.34932744553945 |
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 |
109368bf1 109368b1 |
Quadratic twists by: -3 -7 |