Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hn |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-834803200000000 = -1 · 215 · 58 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20500,-810000] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1925:1] |
Generators of the group modulo torsion |
j |
74434680/65219 |
j-invariant |
L |
6.8973189235448 |
L(r)(E,1)/r! |
Ω |
0.27584603768541 |
Real period |
R |
0.69456205073638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000140841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gl1 61600bx1 123200ei1 |
Quadratic twists by: -4 8 5 |