Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100bg |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-10631628000000 = -1 · 28 · 33 · 56 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4933,204263] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1050:1] |
Generators of the group modulo torsion |
j |
-3319595008/2657907 |
j-invariant |
L |
9.0704068902062 |
L(r)(E,1)/r! |
Ω |
0.66156995649585 |
Real period |
R |
0.19042260355598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3444b1 |
Quadratic twists by: 5 |