Atkin-Lehner |
3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851g |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
147168 |
Modular degree for the optimal curve |
Δ |
-551566611 = -1 · 33 · 234 · 73 |
Discriminant |
Eigenvalues |
2 3+ 1 0 1 4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13930,637479] |
[a1,a2,a3,a4,a6] |
j |
-1068309016576/1971 |
j-invariant |
L |
4.2196837612432 |
L(r)(E,1)/r! |
Ω |
1.4065613439451 |
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 |
115851h1 |
Quadratic twists by: -23 |