Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632bb |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-1130821605093563136 = -1 · 28 · 34 · 132 · 199 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -5 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2056737,-1137152781] |
[a1,a2,a3,a4,a6] |
Generators |
[1773:28158:1] |
Generators of the group modulo torsion |
j |
-79891143083008/93892851 |
j-invariant |
L |
4.2755805380914 |
L(r)(E,1)/r! |
Ω |
0.063029556228979 |
Real period |
R |
2.1198291865821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999179599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5928b1 |
Quadratic twists by: -19 |