Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600bk |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-90880000000 = -1 · 214 · 57 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 4 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,15437] |
[a1,a2,a3,a4,a6] |
j |
-65536/355 |
j-invariant |
L |
1.8563072556869 |
L(r)(E,1)/r! |
Ω |
0.92815373704392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600ce1 7100b1 22720i1 |
Quadratic twists by: -4 8 5 |