Atkin-Lehner |
2+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016k |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
295192231936 = 218 · 75 · 67 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ 0 1 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5089,-135583] |
[a1,a2,a3,a4,a6] |
j |
55611739513/1126069 |
j-invariant |
L |
1.1318760176043 |
L(r)(E,1)/r! |
Ω |
0.56593800880258 |
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 |
30016bt1 469a1 |
Quadratic twists by: -4 8 |