Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740o |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81715200 |
Modular degree for the optimal curve |
Δ |
-6.5798826187011E+28 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-702142112,14268666577341] |
[a1,a2,a3,a4,a6] |
Generators |
[-1734863926:868388103125:195112] |
Generators of the group modulo torsion |
j |
-7414747814569181184/12744293212890625 |
j-invariant |
L |
5.1771044924421 |
L(r)(E,1)/r! |
Ω |
0.03116970317273 |
Real period |
R |
10.380882520435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122740p1 |
Quadratic twists by: -19 |