Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bq |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1.2352606483655E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2873363,-1866348493] |
[a1,a2,a3,a4,a6] |
Generators |
[-933:1762:1] [5871:-431426:1] |
Generators of the group modulo torsion |
j |
24310870577209/114462720 |
j-invariant |
L |
12.511450568649 |
L(r)(E,1)/r! |
Ω |
0.11599118816042 |
Real period |
R |
2.2471984666601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870p1 2070q1 |
Quadratic twists by: -3 -23 |