Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200cl |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-83750000000000 = -1 · 210 · 513 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8033,522937] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:3125:8] |
Generators of the group modulo torsion |
j |
-3583365376/5234375 |
j-invariant |
L |
4.5874700549258 |
L(r)(E,1)/r! |
Ω |
0.54609135587335 |
Real period |
R |
2.1001385532232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200c1 26800c1 21440p1 |
Quadratic twists by: -4 8 5 |