Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234bg |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
130912865714176 = 215 · 73 · 132 · 413 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -2 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-261311,51302565] |
[a1,a2,a3,a4,a6] |
Generators |
[1035:29330:1] |
Generators of the group modulo torsion |
j |
5753111243667202423/381670162432 |
j-invariant |
L |
5.9250759881664 |
L(r)(E,1)/r! |
Ω |
0.55547281686418 |
Real period |
R |
0.059259585390324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234y1 |
Quadratic twists by: -7 |