Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808m |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-312815648768 = -1 · 218 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -1 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1567,-11905] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1568:1] |
Generators of the group modulo torsion |
j |
1622234375/1193297 |
j-invariant |
L |
6.6485333059692 |
L(r)(E,1)/r! |
Ω |
0.54250464088346 |
Real period |
R |
0.61276280467779 |
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 |
31808p1 497a1 |
Quadratic twists by: -4 8 |