Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86490bs |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2142720 |
Modular degree for the optimal curve |
Δ |
-3357490857990240600 = -1 · 23 · 39 · 52 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50272,88039387] |
[a1,a2,a3,a4,a6] |
j |
837/200 |
j-invariant |
L |
2.3305361164712 |
L(r)(E,1)/r! |
Ω |
0.19421136311494 |
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 |
86490e1 86490by1 |
Quadratic twists by: -3 -31 |