Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822c |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-34044239838336 = -1 · 27 · 3 · 79 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-151827,22709037] |
[a1,a2,a3,a4,a6] |
j |
-9591639636223/843648 |
j-invariant |
L |
1.2507463757593 |
L(r)(E,1)/r! |
Ω |
0.62537318787965 |
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 |
30576cn1 122304ec1 11466bx1 95550kd1 |
Quadratic twists by: -4 8 -3 5 |