Atkin-Lehner |
2- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280n |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
86413312000 = 215 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 -1 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114883,-14987582] |
[a1,a2,a3,a4,a6] |
Generators |
[-1566:17:8] |
Generators of the group modulo torsion |
j |
40938419144791449/21097000 |
j-invariant |
L |
2.4735202003584 |
L(r)(E,1)/r! |
Ω |
0.25931976902403 |
Real period |
R |
2.3846236306662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410a1 |
Quadratic twists by: -4 |