Atkin-Lehner |
2- 3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850cf |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151680 |
Modular degree for the optimal curve |
Δ |
5617968750 = 2 · 32 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 5 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-638,4781] |
[a1,a2,a3,a4,a6] |
j |
73530625/14382 |
j-invariant |
L |
2.5657974623067 |
L(r)(E,1)/r! |
Ω |
1.2828978475301 |
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 |
119850bb1 |
Quadratic twists by: 5 |