Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552j |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-13112518849855488 = -1 · 219 · 316 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 3 -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205185,-36127359] |
[a1,a2,a3,a4,a6] |
Generators |
[49215:10917504:1] |
Generators of the group modulo torsion |
j |
-3644372262934369/50020289802 |
j-invariant |
L |
2.5648412944872 |
L(r)(E,1)/r! |
Ω |
0.11206716799173 |
Real period |
R |
5.7216609325326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997926417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552dv1 3486p1 |
Quadratic twists by: -4 8 |