Atkin-Lehner |
2- 3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100674bn |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
151442161774848 = 28 · 38 · 74 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66623,-6575641] |
[a1,a2,a3,a4,a6] |
j |
44860346846741161/207739590912 |
j-invariant |
L |
9.5118502439099 |
L(r)(E,1)/r! |
Ω |
0.29724533059503 |
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 |
33558p1 |
Quadratic twists by: -3 |