Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bw |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-108857032704 = -1 · 215 · 37 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,15874] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-144:1] [-15:112:1] |
Generators of the group modulo torsion |
j |
-1/36456 |
j-invariant |
L |
8.0233772749221 |
L(r)(E,1)/r! |
Ω |
0.83950380229318 |
Real period |
R |
0.29866516286933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3906f1 124992fs1 10416bj1 |
Quadratic twists by: -4 8 -3 |