Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400hm |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
38937600000000 = 216 · 32 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52033,-4575937] |
[a1,a2,a3,a4,a6] |
j |
15214885924/38025 |
j-invariant |
L |
5.0584137772886 |
L(r)(E,1)/r! |
Ω |
0.31615086115586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400bi2 15600f2 12480bq2 |
Quadratic twists by: -4 8 5 |