Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
39650g |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-53606800 = -1 · 24 · 52 · 133 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-488,3961] |
[a1,a2,a3,a4,a6] |
Generators |
[11:3:1] |
Generators of the group modulo torsion |
j |
-514160595625/2144272 |
j-invariant |
L |
12.692591615593 |
L(r)(E,1)/r! |
Ω |
2.0025968850654 |
Real period |
R |
1.5845165482692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39650f1 |
Quadratic twists by: 5 |