Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248b |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
501393782046976 = 28 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ -1 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35884,2396276] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:356:1] |
Generators of the group modulo torsion |
j |
10192 |
j-invariant |
L |
5.8748948176558 |
L(r)(E,1)/r! |
Ω |
0.50840445984931 |
Real period |
R |
5.7777766335507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66248g1 66248o1 |
Quadratic twists by: -7 13 |