Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840dq |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-3758400 = -1 · 26 · 34 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,90] |
[a1,a2,a3,a4,a6] |
j |
22906304/58725 |
j-invariant |
L |
3.4795181520766 |
L(r)(E,1)/r! |
Ω |
1.7397590760385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840cn1 13920x2 83520fr1 |
Quadratic twists by: -4 8 -3 |