Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40248o |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-128923440048 = -1 · 24 · 38 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,654,-16031] |
[a1,a2,a3,a4,a6] |
Generators |
[69:598:1] |
Generators of the group modulo torsion |
j |
2652219392/11053107 |
j-invariant |
L |
5.3581613959815 |
L(r)(E,1)/r! |
Ω |
0.52723746970002 |
Real period |
R |
2.5406774479786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496u1 13416i1 |
Quadratic twists by: -4 -3 |