Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200bk |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-26800000000 = -1 · 210 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 6 4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,4037] |
[a1,a2,a3,a4,a6] |
Generators |
[-12765:128332:3375] |
Generators of the group modulo torsion |
j |
81920/67 |
j-invariant |
L |
12.375038480224 |
L(r)(E,1)/r! |
Ω |
0.76684220948217 |
Real period |
R |
8.068829767457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200dd1 6700i1 107200i1 |
Quadratic twists by: -4 8 5 |