Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82600q |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
702720 |
Modular degree for the optimal curve |
Δ |
-140889994000000000 = -1 · 210 · 59 · 73 · 593 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 5 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54208,18683088] |
[a1,a2,a3,a4,a6] |
Generators |
[2008:89500:1] |
Generators of the group modulo torsion |
j |
-8808295604/70444997 |
j-invariant |
L |
4.7330949535514 |
L(r)(E,1)/r! |
Ω |
0.28028416902107 |
Real period |
R |
4.2216930872106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600g1 |
Quadratic twists by: 5 |