Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1520a |
Isogeny class |
Conductor |
1520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-76000000 = -1 · 28 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,60,-400] |
[a1,a2,a3,a4,a6] |
j |
91765424/296875 |
j-invariant |
L |
2.9663595639438 |
L(r)(E,1)/r! |
Ω |
0.98878652131461 |
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 |
760d2 6080r2 13680h2 7600b2 |
Quadratic twists by: -4 8 -3 5 |