Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bc |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-17897311250000000 = -1 · 27 · 510 · 73 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28112,6187281] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:1613:1] |
Generators of the group modulo torsion |
j |
251592641975/1832684672 |
j-invariant |
L |
8.8385410893864 |
L(r)(E,1)/r! |
Ω |
0.28272810170521 |
Real period |
R |
4.4659470348247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450u1 |
Quadratic twists by: 5 |