Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300g |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-634500000000 = -1 · 28 · 33 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27375,1743750] |
[a1,a2,a3,a4,a6] |
j |
-168055344/47 |
j-invariant |
L |
3.5654897727625 |
L(r)(E,1)/r! |
Ω |
0.89137244321104 |
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 |
42300e1 42300f1 |
Quadratic twists by: -3 5 |