Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310z |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
4794508295847562500 = 22 · 37 · 56 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21420774,38164550080] |
[a1,a2,a3,a4,a6] |
j |
1491082498849111837358689/6576828938062500 |
j-invariant |
L |
2.5785736577564 |
L(r)(E,1)/r! |
Ω |
0.21488113813297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770s1 |
Quadratic twists by: -3 |