Atkin-Lehner |
2+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13090h |
Isogeny class |
Conductor |
13090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-3601425520 = -1 · 24 · 5 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-329,3773] |
[a1,a2,a3,a4,a6] |
Generators |
[14:35:1] |
Generators of the group modulo torsion |
j |
-3945060967401/3601425520 |
j-invariant |
L |
3.644030850663 |
L(r)(E,1)/r! |
Ω |
1.2819025576568 |
Real period |
R |
1.4213369139866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104720bb1 117810dv1 65450w1 91630f1 |
Quadratic twists by: -4 -3 5 -7 |