Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2652g |
Isogeny class |
Conductor |
2652 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
156351312 = 24 · 32 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293,1740] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:51:1] |
Generators of the group modulo torsion |
j |
174456832000/9771957 |
j-invariant |
L |
3.658282122655 |
L(r)(E,1)/r! |
Ω |
1.795766697927 |
Real period |
R |
0.3395283406319 |
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 |
10608s1 42432c1 7956e1 66300b1 |
Quadratic twists by: -4 8 -3 5 |