Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100bj |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-5957043750000 = -1 · 24 · 34 · 58 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55958,5077713] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:1101:1] [-92:3075:1] |
Generators of the group modulo torsion |
j |
-3100544776960/953127 |
j-invariant |
L |
12.374706631862 |
L(r)(E,1)/r! |
Ω |
0.74080063133711 |
Real period |
R |
0.23200699104744 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100k1 |
Quadratic twists by: 5 |