Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
248b |
Isogeny class |
Conductor |
248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-31744 = -1 · 210 · 31 |
Discriminant |
Eigenvalues |
2- -2 2 0 2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,0] |
[a1,a2,a3,a4,a6] |
j |
48668/31 |
j-invariant |
L |
1.061759246798 |
L(r)(E,1)/r! |
Ω |
2.1235184935959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
496c1 1984d1 2232c1 6200b1 |
Quadratic twists by: -4 8 -3 5 |