Atkin-Lehner |
3- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835p |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
117618708339583605 = 318 · 5 · 74 · 113 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6076058,-5763213588] |
[a1,a2,a3,a4,a6] |
Generators |
[-177945:107344:125] |
Generators of the group modulo torsion |
j |
34029992181649134789721/161342535445245 |
j-invariant |
L |
3.1435620303902 |
L(r)(E,1)/r! |
Ω |
0.096159944964372 |
Real period |
R |
8.1727429018216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945o4 |
Quadratic twists by: -3 |