Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5328p |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-39142899965952 = -1 · 213 · 317 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2445,297394] |
[a1,a2,a3,a4,a6] |
Generators |
[263:4374:1] |
Generators of the group modulo torsion |
j |
541343375/13108878 |
j-invariant |
L |
3.607816169378 |
L(r)(E,1)/r! |
Ω |
0.4852074258403 |
Real period |
R |
0.92945201815745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
666b1 21312cc1 1776i1 |
Quadratic twists by: -4 8 -3 |