Atkin-Lehner |
2+ 3- 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526j |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-483593814 = -1 · 2 · 37 · 11 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,-1058] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-115:1] |
Generators of the group modulo torsion |
j |
-1/663366 |
j-invariant |
L |
2.7404056256682 |
L(r)(E,1)/r! |
Ω |
0.76067925024637 |
Real period |
R |
0.45032213273544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842j1 |
Quadratic twists by: -3 |