Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822be |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-26754 = -1 · 2 · 3 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6,6] |
[a1,a2,a3,a4,a6] |
j |
68921/78 |
j-invariant |
L |
4.9997625886335 |
L(r)(E,1)/r! |
Ω |
2.4998812943167 |
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 |
30576bu1 122304cg1 11466s1 95550bd1 |
Quadratic twists by: -4 8 -3 5 |