Atkin-Lehner |
3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
112437f |
Isogeny class |
Conductor |
112437 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3392640 |
Modular degree for the optimal curve |
Δ |
-6.9908555481453E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 -3 -5 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4329005,3491154690] |
[a1,a2,a3,a4,a6] |
Generators |
[-2374:20793:1] |
Generators of the group modulo torsion |
j |
-15015625/117 |
j-invariant |
L |
2.7771425605017 |
L(r)(E,1)/r! |
Ω |
0.19594335589843 |
Real period |
R |
7.0865953390303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37479b1 112437j1 |
Quadratic twists by: -3 -31 |