Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600l |
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 |
[148:1825:1] |
Generators of the group modulo torsion |
j |
11239424/8875 |
j-invariant |
L |
5.0099860377485 |
L(r)(E,1)/r! |
Ω |
0.72393340273534 |
Real period |
R |
3.4602534209915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999420728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600cm1 1775a1 22720c1 |
Quadratic twists by: -4 8 5 |