Atkin-Lehner |
2+ 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430n |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9849600 |
Modular degree for the optimal curve |
Δ |
-106000232808448000 = -1 · 219 · 53 · 117 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162887984,800209657088] |
[a1,a2,a3,a4,a6] |
j |
-269795528414653840973361/59834368000 |
j-invariant |
L |
1.1758316632654 |
L(r)(E,1)/r! |
Ω |
0.19597191082393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130i1 |
Quadratic twists by: -11 |