Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968cn |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-53748598837248 = -1 · 212 · 38 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849,352575] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:468:1] [-33:588:1] |
Generators of the group modulo torsion |
j |
-140608/111537 |
j-invariant |
L |
11.467801376099 |
L(r)(E,1)/r! |
Ω |
0.50916259310771 |
Real period |
R |
0.70383959437989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79968bq2 1632h4 |
Quadratic twists by: -4 -7 |