Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ej |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-108993600 = -1 · 26 · 34 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60,-450] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
367061696/1703025 |
j-invariant |
L |
7.2662213748603 |
L(r)(E,1)/r! |
Ω |
0.9473803001542 |
Real period |
R |
1.9174510420149 |
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 |
27840dd1 13920q2 83520eo1 |
Quadratic twists by: -4 8 -3 |