Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552cs |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
9326589640704 = 220 · 37 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241729,-45664031] |
[a1,a2,a3,a4,a6] |
j |
5958978974685073/35578116 |
j-invariant |
L |
0.4306227883682 |
L(r)(E,1)/r! |
Ω |
0.21531157195637 |
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 |
111552bd1 27888bi1 |
Quadratic twists by: -4 8 |