Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800dl |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
83520000000 = 212 · 32 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2784008,1787015988] |
[a1,a2,a3,a4,a6] |
Generators |
[25986:800:27] [718:12600:1] |
Generators of the group modulo torsion |
j |
37286818682653441/1305 |
j-invariant |
L |
9.1564450224737 |
L(r)(E,1)/r! |
Ω |
0.57634421691863 |
Real period |
R |
1.9858889778204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2175b3 104400ef4 6960be3 |
Quadratic twists by: -4 -3 5 |