Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3822bh |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-2219083776 = -1 · 211 · 35 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-232,2624] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-184:1] |
Generators of the group modulo torsion |
j |
-4027268071/6469632 |
j-invariant |
L |
5.1300726623983 |
L(r)(E,1)/r! |
Ω |
1.3102023630872 |
Real period |
R |
0.0355952832307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576ch1 122304bg1 11466bf1 95550y1 |
Quadratic twists by: -4 8 -3 5 |