Atkin-Lehner |
2- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
12784f |
Isogeny class |
Conductor |
12784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
153817088 = 212 · 17 · 472 |
Discriminant |
Eigenvalues |
2- -2 4 2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256,-1548] |
[a1,a2,a3,a4,a6] |
j |
454756609/37553 |
j-invariant |
L |
2.3988456835176 |
L(r)(E,1)/r! |
Ω |
1.1994228417588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
799a1 51136r1 115056t1 |
Quadratic twists by: -4 8 -3 |