Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600f |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
156871292500000000 = 28 · 510 · 137 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -2 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140833,-7072963] |
[a1,a2,a3,a4,a6] |
Generators |
[-2309716:9827857:6859] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
4.9247127282868 |
L(r)(E,1)/r! |
Ω |
0.26007675673835 |
Real period |
R |
9.4678063313141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800c1 67600x1 5200a1 |
Quadratic twists by: -4 5 13 |