Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3822w |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
5617055808 = 26 · 39 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37297,2756879] |
[a1,a2,a3,a4,a6] |
j |
16728308209329751/16376256 |
j-invariant |
L |
3.402719386253 |
L(r)(E,1)/r! |
Ω |
1.1342397954177 |
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 |
30576db1 122304dm1 11466ba1 95550dx1 |
Quadratic twists by: -4 8 -3 5 |