Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180h |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1310610000 = 24 · 3 · 54 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-665,-6150] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:15:1] |
Generators of the group modulo torsion |
j |
2035736559616/81913125 |
j-invariant |
L |
5.6266082906968 |
L(r)(E,1)/r! |
Ω |
0.94235818890351 |
Real period |
R |
0.99512909156195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540j1 |
Quadratic twists by: -3 |