Atkin-Lehner |
2- 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090bt |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-47606322669237360 = -1 · 24 · 324 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1653332,-817907929] |
[a1,a2,a3,a4,a6] |
j |
-685608435156667567609/65303597625840 |
j-invariant |
L |
4.7930236979746 |
L(r)(E,1)/r! |
Ω |
0.066569773582984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030k1 |
Quadratic twists by: -3 |