Atkin-Lehner |
2+ 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938i |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
7337304 = 23 · 34 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-160,-778] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:5:1] |
Generators of the group modulo torsion |
j |
2656374097/43416 |
j-invariant |
L |
4.8838568844588 |
L(r)(E,1)/r! |
Ω |
1.3447005017995 |
Real period |
R |
0.90798227512475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67938s1 |
Quadratic twists by: 13 |