Atkin-Lehner |
2+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3224b |
Isogeny class |
Conductor |
3224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
592 |
Modular degree for the optimal curve |
Δ |
-103168 = -1 · 28 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 3 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92,340] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-2:1] |
Generators of the group modulo torsion |
j |
-336393216/403 |
j-invariant |
L |
2.5169568485803 |
L(r)(E,1)/r! |
Ω |
3.3451871468051 |
Real period |
R |
0.18810284283976 |
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 |
6448c1 25792g1 29016o1 80600s1 |
Quadratic twists by: -4 8 -3 5 |