Atkin-Lehner |
2- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430ba |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-2008600 = -1 · 23 · 52 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 11- -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151,705] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-9:1] |
Generators of the group modulo torsion |
j |
-3148102969/16600 |
j-invariant |
L |
6.0114592920623 |
L(r)(E,1)/r! |
Ω |
2.6341678002392 |
Real period |
R |
0.38035157842298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100430e1 |
Quadratic twists by: -11 |