Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600be |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2608760000000000 = 212 · 510 · 72 · 113 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171633,-27315137] |
[a1,a2,a3,a4,a6] |
j |
8736724668736/40761875 |
j-invariant |
L |
1.8769861480675 |
L(r)(E,1)/r! |
Ω |
0.2346232682655 |
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 |
61600q2 123200z1 12320d2 |
Quadratic twists by: -4 8 5 |