Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
3213205995847680 = 216 · 35 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-552001,-158015425] |
[a1,a2,a3,a4,a6] |
j |
7033666972/1215 |
j-invariant |
L |
1.7515358252246 |
L(r)(E,1)/r! |
Ω |
0.17515358254999 |
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 |
47040h1 11760m1 47040fg1 |
Quadratic twists by: -4 8 -7 |