Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ff |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-3342041015625000000 = -1 · 26 · 34 · 518 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,326092,-51090438] |
[a1,a2,a3,a4,a6] |
Generators |
[291:8268:1] |
Generators of the group modulo torsion |
j |
3834800837445824/3342041015625 |
j-invariant |
L |
2.9346280783024 |
L(r)(E,1)/r! |
Ω |
0.13825594438323 |
Real period |
R |
5.3065133858603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400hk1 31200p2 12480co1 |
Quadratic twists by: -4 8 5 |