Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342y |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-1.3885944915499E+25 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-169648373,-869145784307] |
[a1,a2,a3,a4,a6] |
j |
-233181060948366864507/5996473317588992 |
j-invariant |
L |
2.0884432823829 |
L(r)(E,1)/r! |
Ω |
0.020884432823827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27342c1 3906m1 |
Quadratic twists by: -3 -7 |