Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080bi |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
43911384768000 = 29 · 33 · 53 · 714 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37680,2784600] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:2130:1] |
Generators of the group modulo torsion |
j |
11555745255423368/85764423375 |
j-invariant |
L |
7.9778702913518 |
L(r)(E,1)/r! |
Ω |
0.6441265540142 |
Real period |
R |
0.68808685719303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080i3 68160f4 102240c3 |
Quadratic twists by: -4 8 -3 |