Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960s |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4187844771840 = 224 · 33 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5242923,-4620705958] |
[a1,a2,a3,a4,a6] |
j |
144118734029937784467/37867520 |
j-invariant |
L |
3.1926856710864 |
L(r)(E,1)/r! |
Ω |
0.099771427221573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870m2 123840eg2 30960y4 |
Quadratic twists by: -4 8 -3 |