Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bw |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-155545600000000 = -1 · 218 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,600512] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:750:1] |
Generators of the group modulo torsion |
j |
-1771561/2430400 |
j-invariant |
L |
9.3822118015966 |
L(r)(E,1)/r! |
Ω |
0.46468268513229 |
Real period |
R |
2.523822195222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850w1 17360bf1 |
Quadratic twists by: -4 5 |