Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520ck |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12257280 |
Modular degree for the optimal curve |
Δ |
-2.581501582232E+24 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -2 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11806625,-78860001023] |
[a1,a2,a3,a4,a6] |
Generators |
[194459:85737500:1] |
Generators of the group modulo torsion |
j |
-17213481368/244140625 |
j-invariant |
L |
3.9815024675055 |
L(r)(E,1)/r! |
Ω |
0.034726297477817 |
Real period |
R |
2.3886211417255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999690974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520cg1 57760a1 115520ch1 |
Quadratic twists by: -4 8 -19 |