Atkin-Lehner |
2- 3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142q |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
351000 |
Modular degree for the optimal curve |
Δ |
-42779384143872 = -1 · 213 · 3 · 196 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 -1 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,534,314871] |
[a1,a2,a3,a4,a6] |
j |
357911/909312 |
j-invariant |
L |
6.5522233316794 |
L(r)(E,1)/r! |
Ω |
0.50401717737935 |
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 |
222d1 |
Quadratic twists by: -19 |