Atkin-Lehner |
2- 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4902j |
Isogeny class |
Conductor |
4902 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
117648 = 24 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
244140625/117648 |
j-invariant |
L |
4.7775321823379 |
L(r)(E,1)/r! |
Ω |
2.6369708516088 |
Real period |
R |
0.90587504587379 |
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 |
39216z1 14706f1 122550q1 93138s1 |
Quadratic twists by: -4 -3 5 -19 |