Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384cv |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-95044010688 = -1 · 26 · 39 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1082280,-433368722] |
[a1,a2,a3,a4,a6] |
j |
-3004935183806464000/2037123 |
j-invariant |
L |
0.88810800355384 |
L(r)(E,1)/r! |
Ω |
0.074009019535153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384bg2 30096bd2 40128cc2 |
Quadratic twists by: -4 8 -3 |