Atkin-Lehner |
2- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430bm |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-885583705600 = -1 · 29 · 52 · 112 · 833 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1240,48192] |
[a1,a2,a3,a4,a6] |
Generators |
[224:3208:1] |
Generators of the group modulo torsion |
j |
-1742710656841/7318873600 |
j-invariant |
L |
8.4760541842952 |
L(r)(E,1)/r! |
Ω |
0.77294715550245 |
Real period |
R |
0.20307205392022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100430j2 |
Quadratic twists by: -11 |