Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bw |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
26406250000 = 24 · 510 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 -5 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-758,-1613] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] [77:625:1] |
Generators of the group modulo torsion |
j |
1141504/625 |
j-invariant |
L |
6.7720069549405 |
L(r)(E,1)/r! |
Ω |
0.97196623008029 |
Real period |
R |
1.7418318521213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16900d1 13520x1 67600bv1 |
Quadratic twists by: -4 5 13 |