Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6498o |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
557604341762112 = 26 · 33 · 199 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55301,-4860995] |
[a1,a2,a3,a4,a6] |
j |
2146689/64 |
j-invariant |
L |
1.8713720135975 |
L(r)(E,1)/r! |
Ω |
0.31189533559959 |
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 |
51984bj1 6498a1 6498b1 |
Quadratic twists by: -4 -3 -19 |