Atkin-Lehner |
7- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87241d |
Isogeny class |
Conductor |
87241 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6059520 |
Modular degree for the optimal curve |
Δ |
-2.8615393715625E+21 |
Discriminant |
Eigenvalues |
2 1 3 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,932386,-2549953961] |
[a1,a2,a3,a4,a6] |
Generators |
[2384690:115066053:1000] |
Generators of the group modulo torsion |
j |
50600448584142848/1615264375069499 |
j-invariant |
L |
19.950338073199 |
L(r)(E,1)/r! |
Ω |
0.068964299187212 |
Real period |
R |
6.0267710722042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7931a1 |
Quadratic twists by: -11 |