Atkin-Lehner |
2- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016bh |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
1921024 = 212 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3 1 7+ 2 -5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,128] |
[a1,a2,a3,a4,a6] |
j |
3796416/469 |
j-invariant |
L |
5.0767662953538 |
L(r)(E,1)/r! |
Ω |
2.5383831476784 |
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 |
30016cb1 15008c1 |
Quadratic twists by: -4 8 |