Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960bl |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1858560 |
Modular degree for the optimal curve |
Δ |
-81153800000000000 = -1 · 212 · 511 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3941707,-3012167494] |
[a1,a2,a3,a4,a6] |
j |
-688691336801860161/8251953125 |
j-invariant |
L |
7.0716717470463 |
L(r)(E,1)/r! |
Ω |
0.053573270805883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3185g1 50960z1 |
Quadratic twists by: -4 -7 |