Atkin-Lehner |
2+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82600g |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
140544 |
Modular degree for the optimal curve |
Δ |
-9016959616000 = -1 · 210 · 53 · 73 · 593 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 5 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2168,150332] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:420:1] |
Generators of the group modulo torsion |
j |
-8808295604/70444997 |
j-invariant |
L |
10.652983971838 |
L(r)(E,1)/r! |
Ω |
0.62673445494816 |
Real period |
R |
1.4164669859007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600q1 |
Quadratic twists by: 5 |