Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1650m |
Isogeny class |
Conductor |
1650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3993000000 = 26 · 3 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2013,-35469] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
2.1388208194956 |
L(r)(E,1)/r! |
Ω |
0.7129402731652 |
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 |
13200ck3 52800db3 4950o3 66a3 |
Quadratic twists by: -4 8 -3 5 |