Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272d |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-644672512 = -1 · 210 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104,1288] |
[a1,a2,a3,a4,a6] |
j |
-121485312/629563 |
j-invariant |
L |
1.4034961990261 |
L(r)(E,1)/r! |
Ω |
1.4034961990258 |
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 |
30272bd1 3784d1 |
Quadratic twists by: -4 8 |