Atkin-Lehner |
2+ 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65366g |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
109945612 = 22 · 72 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 0 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130,-328] |
[a1,a2,a3,a4,a6] |
Generators |
[14:22:1] |
Generators of the group modulo torsion |
j |
5018421625/2243788 |
j-invariant |
L |
3.6511340433698 |
L(r)(E,1)/r! |
Ω |
1.4725658438903 |
Real period |
R |
0.41323947796076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65366b1 |
Quadratic twists by: -7 |