Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
35400o |
Isogeny class |
Conductor |
35400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-69677820000000000 = -1 · 211 · 310 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 -2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,89792,7381088] |
[a1,a2,a3,a4,a6] |
j |
4003149550/3483891 |
j-invariant |
L |
2.2544381279829 |
L(r)(E,1)/r! |
Ω |
0.22544381279851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800a1 106200h1 35400d1 |
Quadratic twists by: -4 -3 5 |