Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82654i |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-18666644160736 = -1 · 25 · 11 · 133 · 176 |
Discriminant |
Eigenvalues |
2+ 2 -3 1 11- 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1884,209456] |
[a1,a2,a3,a4,a6] |
Generators |
[35:416:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
5.9785794764811 |
L(r)(E,1)/r! |
Ω |
0.57641441493855 |
Real period |
R |
1.7286693165589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
286a1 |
Quadratic twists by: 17 |