Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200br |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
3814800000000 = 210 · 3 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8008,262012] |
[a1,a2,a3,a4,a6] |
j |
3550014724/238425 |
j-invariant |
L |
1.5416185590863 |
L(r)(E,1)/r! |
Ω |
0.77080929258815 |
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 |
22440m1 |
Quadratic twists by: 5 |