Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3550m |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
5546875000 = 23 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -2 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-688,-6008] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:34:1] |
Generators of the group modulo torsion |
j |
2305199161/355000 |
j-invariant |
L |
5.5517038595242 |
L(r)(E,1)/r! |
Ω |
0.94183081166602 |
Real period |
R |
0.98243120221414 |
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 |
28400h1 113600z1 31950n1 710a1 |
Quadratic twists by: -4 8 -3 5 |