Atkin-Lehner |
2+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600f |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-2312800000000 = -1 · 211 · 58 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 1 5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2792,47088] |
[a1,a2,a3,a4,a6] |
Generators |
[27:378:1] |
Generators of the group modulo torsion |
j |
3007630/2891 |
j-invariant |
L |
3.6187947061847 |
L(r)(E,1)/r! |
Ω |
0.53763975025778 |
Real period |
R |
3.3654456364855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82600p1 |
Quadratic twists by: 5 |