Atkin-Lehner |
3- 5- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265l |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.8696463095066E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18680882,-31071252144] |
[a1,a2,a3,a4,a6] |
j |
988981786551418847016409/53081568031640625 |
j-invariant |
L |
0.58095380391121 |
L(r)(E,1)/r! |
Ω |
0.072619225179637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22755c2 |
Quadratic twists by: -3 |