Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188j |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36578304 |
Modular degree for the optimal curve |
Δ |
-851468209934832 = -1 · 24 · 39 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 3 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2181456333,-39216415883715] |
[a1,a2,a3,a4,a6] |
j |
-90337828880729389824/67 |
j-invariant |
L |
6.4947176572088 |
L(r)(E,1)/r! |
Ω |
0.011045437638638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188n1 118188m1 |
Quadratic twists by: -3 -7 |