Atkin-Lehner |
2- 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144o |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-116144 = -1 · 24 · 7 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,-694] |
[a1,a2,a3,a4,a6] |
j |
-19513606144/7259 |
j-invariant |
L |
2.7692286323657 |
L(r)(E,1)/r! |
Ω |
0.69230699142243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29036j1 |
Quadratic twists by: -4 |