Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bq |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
6.1385086901531E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1069500,-197834375] |
[a1,a2,a3,a4,a6] |
Generators |
[-844:10179:1] |
Generators of the group modulo torsion |
j |
5938660917248/2694544281 |
j-invariant |
L |
7.8933702245355 |
L(r)(E,1)/r! |
Ω |
0.15494829647784 |
Real period |
R |
4.2451634248752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000001686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42900bt1 128700bi1 |
Quadratic twists by: -3 5 |