Atkin-Lehner |
3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275a |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
126140625 = 33 · 56 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-492,4291] |
[a1,a2,a3,a4,a6] |
Generators |
[18:23:1] |
Generators of the group modulo torsion |
j |
31255875/299 |
j-invariant |
L |
4.9492469883415 |
L(r)(E,1)/r! |
Ω |
1.8643355617645 |
Real period |
R |
2.6546975180279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67275b1 2691b1 |
Quadratic twists by: -3 5 |