Atkin-Lehner |
2+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3422a |
Isogeny class |
Conductor |
3422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-22489822016 = -1 · 26 · 29 · 594 |
Discriminant |
Eigenvalues |
2+ 1 1 -2 -1 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-253,-7400] |
[a1,a2,a3,a4,a6] |
Generators |
[1785:13018:27] |
Generators of the group modulo torsion |
j |
-1780800847561/22489822016 |
j-invariant |
L |
3.000500345307 |
L(r)(E,1)/r! |
Ω |
0.5141536958743 |
Real period |
R |
1.4589510730857 |
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 |
27376f1 109504k1 30798t1 85550p1 |
Quadratic twists by: -4 8 -3 5 |