Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800bb |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
310554000000000 = 210 · 37 · 59 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82875,9143750] |
[a1,a2,a3,a4,a6] |
j |
43175444/213 |
j-invariant |
L |
1.0944467033607 |
L(r)(E,1)/r! |
Ω |
0.54722378403816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600u1 127800bt1 |
Quadratic twists by: -3 5 |