Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100m |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-8475468750000 = -1 · 24 · 33 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 0 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3333,-157338] |
[a1,a2,a3,a4,a6] |
j |
-26214400/54243 |
j-invariant |
L |
1.7688675693967 |
L(r)(E,1)/r! |
Ω |
0.29481127134241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100bl1 |
Quadratic twists by: 5 |