Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970ca |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
608 |
Product of Tamagawa factors cp |
Δ |
-7.473758169263E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137220512,-4205099431101] |
[a1,a2,a3,a4,a6] |
j |
-391970413583429733188386489/10252068819290850263040000 |
j-invariant |
L |
2.7524432773663 |
L(r)(E,1)/r! |
Ω |
0.018108179456357 |
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 |
95760fn2 3990c2 59850cf2 83790ev2 |
Quadratic twists by: -4 -3 5 -7 |