Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080bh |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
106301030400 = 216 · 36 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1227,-5254] |
[a1,a2,a3,a4,a6] |
Generators |
[55:306:1] |
Generators of the group modulo torsion |
j |
68417929/35600 |
j-invariant |
L |
8.4840703145962 |
L(r)(E,1)/r! |
Ω |
0.85406293534765 |
Real period |
R |
2.4834441245475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8010m1 7120i1 |
Quadratic twists by: -4 -3 |