Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188n |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12192768 |
Modular degree for the optimal curve |
Δ |
-1167994801008 = -1 · 24 · 33 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -3 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242384037,1452459847545] |
[a1,a2,a3,a4,a6] |
j |
-90337828880729389824/67 |
j-invariant |
L |
1.0168617892382 |
L(r)(E,1)/r! |
Ω |
0.25421563715896 |
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 |
118188j1 118188k1 |
Quadratic twists by: -3 -7 |