Atkin-Lehner |
2- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600o |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
595200 |
Modular degree for the optimal curve |
Δ |
-4130000000000 = -1 · 210 · 510 · 7 · 59 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 4 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86875,-9856250] |
[a1,a2,a3,a4,a6] |
Generators |
[152978:21151763:8] |
Generators of the group modulo torsion |
j |
-7251171300/413 |
j-invariant |
L |
3.129479385172 |
L(r)(E,1)/r! |
Ω |
0.13904147635888 |
Real period |
R |
11.253762062559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600i1 |
Quadratic twists by: 5 |