Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
82076c |
Isogeny class |
Conductor |
82076 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
345984 |
Modular degree for the optimal curve |
Δ |
-134715827700592 = -1 · 24 · 179 · 71 |
Discriminant |
Eigenvalues |
2- -2 0 -4 3 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57318,-5330423] |
[a1,a2,a3,a4,a6] |
Generators |
[8766:820471:1] |
Generators of the group modulo torsion |
j |
-10976000/71 |
j-invariant |
L |
4.0550205278825 |
L(r)(E,1)/r! |
Ω |
0.15421559661699 |
Real period |
R |
4.3824150732834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82076b1 |
Quadratic twists by: 17 |