Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dx |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
3744000000000 = 214 · 32 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-487633,-130902863] |
[a1,a2,a3,a4,a6] |
j |
50091484483024/14625 |
j-invariant |
L |
0.72266364670936 |
L(r)(E,1)/r! |
Ω |
0.18066591128219 |
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 |
62400bz1 15600r1 12480db1 |
Quadratic twists by: -4 8 5 |