Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016w |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
9677696766976 = 210 · 7 · 675 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 0 5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5368,22664] |
[a1,a2,a3,a4,a6] |
j |
16705569171456/9450875749 |
j-invariant |
L |
5.0065724944277 |
L(r)(E,1)/r! |
Ω |
0.62582156180303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016bs1 3752i1 |
Quadratic twists by: -4 8 |