Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464g |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5821024176 = -1 · 24 · 38 · 11 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-606,6815] |
[a1,a2,a3,a4,a6] |
Generators |
[7:54:1] |
Generators of the group modulo torsion |
j |
-2110056448/499059 |
j-invariant |
L |
3.8520542798514 |
L(r)(E,1)/r! |
Ω |
1.2861895499667 |
Real period |
R |
1.4974675651029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56232d1 37488e1 |
Quadratic twists by: -4 -3 |