Atkin-Lehner |
2+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51136f |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
2845000859648 = 218 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7553,236767] |
[a1,a2,a3,a4,a6] |
Generators |
[106:799:1] |
Generators of the group modulo torsion |
j |
181802454625/10852817 |
j-invariant |
L |
4.1669608690723 |
L(r)(E,1)/r! |
Ω |
0.79191827993058 |
Real period |
R |
0.87697619285285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136k1 799b1 |
Quadratic twists by: -4 8 |