Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400bn |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4650682023936000 = 225 · 38 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 6 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225473,41153217] |
[a1,a2,a3,a4,a6] |
j |
38686490446661/141927552 |
j-invariant |
L |
1.7456668045194 |
L(r)(E,1)/r! |
Ω |
0.43641670221084 |
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 |
62400hw2 1950bb2 62400dv2 |
Quadratic twists by: -4 8 5 |