Atkin-Lehner |
2- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650u |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
-3.267100672E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,764362,-97238108] |
[a1,a2,a3,a4,a6] |
Generators |
[268:11130:1] |
Generators of the group modulo torsion |
j |
5057325394873175/3345511088128 |
j-invariant |
L |
7.0787059171496 |
L(r)(E,1)/r! |
Ω |
0.11828324806033 |
Real period |
R |
1.0686674984024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56650l1 |
Quadratic twists by: 5 |