Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825p |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-4.2646369679575E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84380,314357622] |
[a1,a2,a3,a4,a6] |
Generators |
[-661:9330:1] |
Generators of the group modulo torsion |
j |
-5832972054001/3743988558975 |
j-invariant |
L |
4.7032306125433 |
L(r)(E,1)/r! |
Ω |
0.16435137045222 |
Real period |
R |
3.5771154569818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37275a1 22365f1 |
Quadratic twists by: -3 5 |