Atkin-Lehner |
2- 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970z |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-186845926877513750 = -1 · 2 · 54 · 79 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,67619,-19659305] |
[a1,a2,a3,a4,a6] |
j |
290630575609919/1588164173750 |
j-invariant |
L |
1.2819023448879 |
L(r)(E,1)/r! |
Ω |
0.1602377235786 |
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 |
17710h1 |
Quadratic twists by: -7 |