Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138z |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-339864 = -1 · 23 · 3 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91,-343] |
[a1,a2,a3,a4,a6] |
j |
-288568081/1176 |
j-invariant |
L |
4.6358533358403 |
L(r)(E,1)/r! |
Ω |
0.77264222264005 |
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 |
97104bh1 36414bg1 84966cq1 12138r1 |
Quadratic twists by: -4 -3 -7 17 |