Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240r |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
276349320000 = 26 · 312 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10590,415188] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:810:1] |
Generators of the group modulo torsion |
j |
2052450196928704/4317958125 |
j-invariant |
L |
4.7230299498021 |
L(r)(E,1)/r! |
Ω |
0.97910492621392 |
Real period |
R |
0.20099267127177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6240y1 12480h2 18720bf1 31200bo1 |
Quadratic twists by: -4 8 -3 5 |