Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
248c |
Isogeny class |
Conductor |
248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8 |
Modular degree for the optimal curve |
Δ |
-496 = -1 · 24 · 31 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 2 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
6912/31 |
j-invariant |
L |
1.3306506590482 |
L(r)(E,1)/r! |
Ω |
2.6434410671304 |
Real period |
R |
0.25168911000022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
496a1 1984e1 2232g1 6200f1 |
Quadratic twists by: -4 8 -3 5 |