Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552co |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-9.7146619479573E+18 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 1 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320577,165541089] |
[a1,a2,a3,a4,a6] |
Generators |
[1019:29932:1] |
Generators of the group modulo torsion |
j |
-13898957473262737/37058494369344 |
j-invariant |
L |
4.4704416931768 |
L(r)(E,1)/r! |
Ω |
0.20281184109463 |
Real period |
R |
5.510577783761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999774023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552bn1 27888bn1 |
Quadratic twists by: -4 8 |