Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4896i |
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 |
[-4:18:1] |
Generators of the group modulo torsion |
j |
438976/17 |
j-invariant |
L |
3.3978286537845 |
L(r)(E,1)/r! |
Ω |
2.8078316559783 |
Real period |
R |
1.2101254883105 |
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 |
4896j1 9792cd1 544f1 122400dh1 |
Quadratic twists by: -4 8 -3 5 |