Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fg |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
27311800320 = 216 · 35 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11265,463905] |
[a1,a2,a3,a4,a6] |
j |
7033666972/1215 |
j-invariant |
L |
2.2969118627009 |
L(r)(E,1)/r! |
Ω |
1.1484559314231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dh1 11760w1 47040gc1 |
Quadratic twists by: -4 8 -7 |