Atkin-Lehner |
2+ 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328f |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
4113103248116928 = 26 · 314 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96532,11156182] |
[a1,a2,a3,a4,a6] |
j |
1554397717144267072/64267238251827 |
j-invariant |
L |
0.43485047117228 |
L(r)(E,1)/r! |
Ω |
0.43485065680715 |
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 |
107328bd1 53664n2 |
Quadratic twists by: -4 8 |