Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31552c |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-32309248 = -1 · 216 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 2 -4 -1 4 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-319] |
[a1,a2,a3,a4,a6] |
Generators |
[67:540:1] |
Generators of the group modulo torsion |
j |
-470596/493 |
j-invariant |
L |
5.7730919098099 |
L(r)(E,1)/r! |
Ω |
0.80600687863622 |
Real period |
R |
3.5812919609186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552p1 3944b1 |
Quadratic twists by: -4 8 |