Atkin-Lehner |
2- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119548h |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4475520 |
Modular degree for the optimal curve |
Δ |
3.6891688269417E+20 |
Discriminant |
Eigenvalues |
2- 0 2 -5 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1958264,508479268] |
[a1,a2,a3,a4,a6] |
Generators |
[26004:4187326:1] [69:19331:1] |
Generators of the group modulo torsion |
j |
1831223513161728/813452979053 |
j-invariant |
L |
11.261624926413 |
L(r)(E,1)/r! |
Ω |
0.1525468402422 |
Real period |
R |
2.0506679407106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868d1 |
Quadratic twists by: -11 |