Atkin-Lehner |
2- 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49192g |
Isogeny class |
Conductor |
49192 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
274163293927952 = 24 · 119 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 0 0 -1 11- 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63935,6171167] |
[a1,a2,a3,a4,a6] |
Generators |
[89:1089:1] [133:143:1] |
Generators of the group modulo torsion |
j |
1806424180476192000/17135205870497 |
j-invariant |
L |
9.2189239725912 |
L(r)(E,1)/r! |
Ω |
0.55263684981588 |
Real period |
R |
0.46338064779106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98384c1 |
Quadratic twists by: -4 |