Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416bm |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
80056432348397568 = 215 · 32 · 710 · 312 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179816,-26060748] |
[a1,a2,a3,a4,a6] |
j |
156982476866335849/19545027428808 |
j-invariant |
L |
4.6747413542009 |
L(r)(E,1)/r! |
Ω |
0.23373706771005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1302b2 41664cy2 31248cd2 72912bz2 |
Quadratic twists by: -4 8 -3 -7 |