Atkin-Lehner |
2- 3+ 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526p |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-101911948426952928 = -1 · 25 · 39 · 117 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,115639,2581417] |
[a1,a2,a3,a4,a6] |
Generators |
[235:-6652:1] |
Generators of the group modulo torsion |
j |
8688582371137941/5177663386016 |
j-invariant |
L |
8.5355252724823 |
L(r)(E,1)/r! |
Ω |
0.20520326608988 |
Real period |
R |
0.29711046432469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86526a1 |
Quadratic twists by: -3 |