Atkin-Lehner |
2+ 5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
111650h |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4632576 |
Modular degree for the optimal curve |
Δ |
-2.2963546304968E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,554319,-167055292] |
[a1,a2,a3,a4,a6] |
Generators |
[392:10316:1] [1291:51322:1] |
Generators of the group modulo torsion |
j |
150693361212897554563/183708370439745536 |
j-invariant |
L |
5.3092518321574 |
L(r)(E,1)/r! |
Ω |
0.11467603398638 |
Real period |
R |
5.7872290848274 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111650y1 |
Quadratic twists by: 5 |