Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680y |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.6795234035302E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4561185,7274195775] |
[a1,a2,a3,a4,a6] |
Generators |
[-445:96000:1] |
Generators of the group modulo torsion |
j |
-40032890408196055369/64068733350000000 |
j-invariant |
L |
9.3180309570531 |
L(r)(E,1)/r! |
Ω |
0.11069801177977 |
Real period |
R |
1.7536506917386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bm3 2490c4 |
Quadratic twists by: -4 8 |