Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4176p |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-25657344 = -1 · 215 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2331,-43318] |
[a1,a2,a3,a4,a6] |
j |
-12665630691/232 |
j-invariant |
L |
2.7483592481372 |
L(r)(E,1)/r! |
Ω |
0.34354490601715 |
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 |
522h1 16704ca1 4176u2 104400cs1 |
Quadratic twists by: -4 8 -3 5 |