Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138q |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1.0336568896349E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-280914,-1548021561] |
[a1,a2,a3,a4,a6] |
j |
-101566487155393/42823570577256 |
j-invariant |
L |
3.7733575910115 |
L(r)(E,1)/r! |
Ω |
0.069876992426139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104cs2 36414x2 84966dy2 714i2 |
Quadratic twists by: -4 -3 -7 17 |