Atkin-Lehner |
3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116487f |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2179584 |
Modular degree for the optimal curve |
Δ |
-7694190296141129487 = -1 · 37 · 7 · 439 |
Discriminant |
Eigenvalues |
1 3- 0 7+ -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,74538,133207767] |
[a1,a2,a3,a4,a6] |
j |
125/21 |
j-invariant |
L |
0.7225651226421 |
L(r)(E,1)/r! |
Ω |
0.18064132968568 |
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 |
38829h1 116487i1 |
Quadratic twists by: -3 -43 |