Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gk |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-143769600000000 = -1 · 220 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6367,544863] |
[a1,a2,a3,a4,a6] |
Generators |
[7:768:1] |
Generators of the group modulo torsion |
j |
6967871/35100 |
j-invariant |
L |
8.6700405587531 |
L(r)(E,1)/r! |
Ω |
0.41751948490201 |
Real period |
R |
1.7304662561036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400n1 15600bh1 12480ch1 |
Quadratic twists by: -4 8 5 |