Atkin-Lehner |
2+ 3- 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674d |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10174464 |
Modular degree for the optimal curve |
Δ |
3518500901916672 = 212 · 312 · 7 · 173 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-220938723,1264080845461] |
[a1,a2,a3,a4,a6] |
j |
1636107002589644535221055793/4826475859968 |
j-invariant |
L |
0.41703089084645 |
L(r)(E,1)/r! |
Ω |
0.20851555397251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558v1 |
Quadratic twists by: -3 |