Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cd |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12566400 |
Modular degree for the optimal curve |
Δ |
-2.1126194446418E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67783255,214816829747] |
[a1,a2,a3,a4,a6] |
Generators |
[472403:324404600:1] |
Generators of the group modulo torsion |
j |
-84985354223649/521284 |
j-invariant |
L |
6.1888526387764 |
L(r)(E,1)/r! |
Ω |
0.15834994569869 |
Real period |
R |
9.7708473767703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598c1 114950y1 |
Quadratic twists by: 5 -11 |