Atkin-Lehner |
2- 3- 5+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630m |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-3446404070400 = -1 · 210 · 38 · 52 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2407,76281] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:162:1] [15:-348:1] |
Generators of the group modulo torsion |
j |
2116379745719/4727577600 |
j-invariant |
L |
14.432094287204 |
L(r)(E,1)/r! |
Ω |
0.55038514758603 |
Real period |
R |
0.655545228357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36210i1 |
Quadratic twists by: -3 |