Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120d |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
83298456000000 = 29 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151227,22631346] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:6210:1] |
Generators of the group modulo torsion |
j |
37953380909016/8265625 |
j-invariant |
L |
6.375720392002 |
L(r)(E,1)/r! |
Ω |
0.59106073863717 |
Real period |
R |
1.7978187280444 |
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 |
33120z2 66240i2 33120v2 |
Quadratic twists by: -4 8 -3 |