Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200be |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-346560000000 = -1 · 212 · 3 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1367,20137] |
[a1,a2,a3,a4,a6] |
j |
4410944/5415 |
j-invariant |
L |
2.5702586088577 |
L(r)(E,1)/r! |
Ω |
0.64256463900865 |
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 |
91200da2 45600n1 18240br2 |
Quadratic twists by: -4 8 5 |