Atkin-Lehner |
2- 3+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9888g |
Isogeny class |
Conductor |
9888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-9342024192 = -1 · 29 · 311 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 5 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672,8388] |
[a1,a2,a3,a4,a6] |
j |
-65645911304/18246141 |
j-invariant |
L |
2.4611015237187 |
L(r)(E,1)/r! |
Ω |
1.2305507618594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9888e1 19776o1 29664a1 |
Quadratic twists by: -4 8 -3 |