Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ez |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-39000000000000 = -1 · 212 · 3 · 512 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7033,378937] |
[a1,a2,a3,a4,a6] |
Generators |
[57:400:1] |
Generators of the group modulo torsion |
j |
-601211584/609375 |
j-invariant |
L |
4.6145528680727 |
L(r)(E,1)/r! |
Ω |
0.58901941409623 |
Real period |
R |
1.9585741818925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400hd1 31200bw1 12480cl1 |
Quadratic twists by: -4 8 5 |