Atkin-Lehner |
13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71383b |
Isogeny class |
Conductor |
71383 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10492416 |
Modular degree for the optimal curve |
Δ |
-2.237749984731E+22 |
Discriminant |
Eigenvalues |
-2 1 -2 4 0 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33620044,-75387431142] |
[a1,a2,a3,a4,a6] |
Generators |
[7753586598:1487600749054:205379] |
Generators of the group modulo torsion |
j |
-174110526670532497408/927081755719067 |
j-invariant |
L |
3.4986401881984 |
L(r)(E,1)/r! |
Ω |
0.031338752553384 |
Real period |
R |
13.954927618125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4199b1 |
Quadratic twists by: 17 |