Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bc |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-60760000000000 = -1 · 212 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9325,143250] |
[a1,a2,a3,a4,a6] |
Generators |
[305:5600:1] |
Generators of the group modulo torsion |
j |
1401168159/949375 |
j-invariant |
L |
6.0252017838948 |
L(r)(E,1)/r! |
Ω |
0.39266139694501 |
Real period |
R |
1.9180653583061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5425e1 17360bk1 |
Quadratic twists by: -4 5 |