Atkin-Lehner |
2- 3+ 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258z |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
67163712 = 26 · 3 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-209,1007] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
1009932705937/67163712 |
j-invariant |
L |
5.9816201376906 |
L(r)(E,1)/r! |
Ω |
1.9197215418181 |
Real period |
R |
0.51931317532175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774be1 |
Quadratic twists by: -3 |