Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975w |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-2.2126177825928E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,698020,28689022] |
[a1,a2,a3,a4,a6] |
Generators |
[27796:1287695:64] |
Generators of the group modulo torsion |
j |
3302024872982031/1942490234375 |
j-invariant |
L |
3.686222150583 |
L(r)(E,1)/r! |
Ω |
0.13030648337611 |
Real period |
R |
7.0722155579983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13775b1 24795j1 |
Quadratic twists by: -3 5 |