Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574cp |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
259981894069061472 = 25 · 32 · 714 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-172873,-12803911] |
[a1,a2,a3,a4,a6] |
j |
3648707754875/1660262688 |
j-invariant |
L |
4.8885237685732 |
L(r)(E,1)/r! |
Ω |
0.2444261884289 |
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 |
106722ca2 5082s2 35574u2 |
Quadratic twists by: -3 -7 -11 |