Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850by |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1413534352343750 = -1 · 2 · 58 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7937,-1787633] |
[a1,a2,a3,a4,a6] |
j |
30080231/768950 |
j-invariant |
L |
2.7859915837535 |
L(r)(E,1)/r! |
Ω |
0.23216596531285 |
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 |
6370g1 4550o1 |
Quadratic twists by: 5 -7 |