Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775dk |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-805584100741875 = -1 · 33 · 54 · 710 · 132 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20008,1740169] |
[a1,a2,a3,a4,a6] |
j |
-5017600/4563 |
j-invariant |
L |
8.2676090813347 |
L(r)(E,1)/r! |
Ω |
0.45931161560222 |
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 |
47775x1 47775bc1 |
Quadratic twists by: 5 -7 |