Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4896j |
Isogeny class |
Conductor |
4896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
793152 = 26 · 36 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -2 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
438976/17 |
j-invariant |
L |
2.4507469402183 |
L(r)(E,1)/r! |
Ω |
1.7416691277539 |
Real period |
R |
1.4071254414315 |
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 |
4896i1 9792ce1 544e1 122400df1 |
Quadratic twists by: -4 8 -3 5 |