Atkin-Lehner |
2+ 3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410m |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-4466262240 = -1 · 25 · 36 · 5 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1239,17405] |
[a1,a2,a3,a4,a6] |
Generators |
[59:354:1] |
Generators of the group modulo torsion |
j |
-288673724529/6126560 |
j-invariant |
L |
5.574433722146 |
L(r)(E,1)/r! |
Ω |
1.3783111301734 |
Real period |
R |
2.0221971658423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6490f1 |
Quadratic twists by: -3 |