Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3234t |
Isogeny class |
Conductor |
3234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
62118672 = 24 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99,-15] |
[a1,a2,a3,a4,a6] |
j |
912673/528 |
j-invariant |
L |
3.3171064896445 |
L(r)(E,1)/r! |
Ω |
1.6585532448223 |
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 |
25872by1 103488by1 9702x1 80850o1 |
Quadratic twists by: -4 8 -3 5 |