Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490bv |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.4311665241352E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2246065,-2235112945] |
[a1,a2,a3,a4,a6] |
j |
-707350352645673001/807856192440000 |
j-invariant |
L |
2.8340917473838 |
L(r)(E,1)/r! |
Ω |
0.059043578937089 |
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 |
7590g4 |
Quadratic twists by: -11 |