Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600cm |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-8875000000 = -1 · 26 · 59 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 0 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,467,2187] |
[a1,a2,a3,a4,a6] |
Generators |
[-3042:8875:729] |
Generators of the group modulo torsion |
j |
11239424/8875 |
j-invariant |
L |
9.93096087416 |
L(r)(E,1)/r! |
Ω |
0.83740112005019 |
Real period |
R |
5.9296319444444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600l1 28400v1 22720bf1 |
Quadratic twists by: -4 8 5 |