Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11270l |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1523200 |
Modular degree for the optimal curve |
Δ |
6.8086570926526E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46578421,-122295455199] |
[a1,a2,a3,a4,a6] |
Generators |
[-3886:7383:1] |
Generators of the group modulo torsion |
j |
276946345316184817447/168724869939200 |
j-invariant |
L |
4.658154731295 |
L(r)(E,1)/r! |
Ω |
0.057792202423343 |
Real period |
R |
4.0300892992214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160ce1 101430cs1 56350q1 11270q1 |
Quadratic twists by: -4 -3 5 -7 |