Atkin-Lehner |
3- 7+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53613b |
Isogeny class |
Conductor |
53613 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-28463654186667 = -1 · 317 · 7 · 23 · 372 |
Discriminant |
Eigenvalues |
0 3- 4 7+ 5 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7512,55566] |
[a1,a2,a3,a4,a6] |
j |
64307691782144/39044793123 |
j-invariant |
L |
3.2674572869757 |
L(r)(E,1)/r! |
Ω |
0.4084321606793 |
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 |
17871c1 |
Quadratic twists by: -3 |