Atkin-Lehner |
2- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430bm |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-1255375000 = -1 · 23 · 56 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,135,-1583] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-137:1] |
Generators of the group modulo torsion |
j |
2247701159/10375000 |
j-invariant |
L |
8.4760541842952 |
L(r)(E,1)/r! |
Ω |
0.77294715550245 |
Real period |
R |
0.60921616176067 |
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 |
100430j1 |
Quadratic twists by: -11 |