Atkin-Lehner |
5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4895c |
Isogeny class |
Conductor |
4895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
6730625 = 54 · 112 · 89 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94,-333] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
90458382169/6730625 |
j-invariant |
L |
2.7996470081018 |
L(r)(E,1)/r! |
Ω |
1.5424449905458 |
Real period |
R |
1.8150708941076 |
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 |
78320ba1 44055h1 24475e1 53845d1 |
Quadratic twists by: -4 -3 5 -11 |