Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128j |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4762030527479808 = -1 · 225 · 32 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27807,2790369] |
[a1,a2,a3,a4,a6] |
j |
9070486526375/18165704832 |
j-invariant |
L |
1.1981925321714 |
L(r)(E,1)/r! |
Ω |
0.29954813305137 |
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 |
40128bu2 1254d2 120384l2 |
Quadratic twists by: -4 8 -3 |