Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188x |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1496896007553072 = -1 · 24 · 311 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25872,-948395] |
[a1,a2,a3,a4,a6] |
j |
1395654656/1090827 |
j-invariant |
L |
4.2533146569006 |
L(r)(E,1)/r! |
Ω |
0.26583218654055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39396m1 2412c1 |
Quadratic twists by: -3 -7 |