Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600bt |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-633005280000000 = -1 · 211 · 310 · 57 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18075,1529750] |
[a1,a2,a3,a4,a6] |
j |
-27995042/27135 |
j-invariant |
L |
1.8705615858401 |
L(r)(E,1)/r! |
Ω |
0.46764023949382 |
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 |
40200e1 24120e1 |
Quadratic twists by: -3 5 |