Atkin-Lehner |
5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4895d |
Isogeny class |
Conductor |
4895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
269225 = 52 · 112 · 89 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
8602523649/269225 |
j-invariant |
L |
2.3267089404019 |
L(r)(E,1)/r! |
Ω |
1.8713565029791 |
Real period |
R |
1.2433274668391 |
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 |
78320w1 44055g1 24475d1 53845c1 |
Quadratic twists by: -4 -3 5 -11 |