Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cz |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.7893856801027E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1473039,-244152399] |
[a1,a2,a3,a4,a6] |
Generators |
[38921089:217867520:29791] |
Generators of the group modulo torsion |
j |
124475734657/63011844 |
j-invariant |
L |
6.8636356867462 |
L(r)(E,1)/r! |
Ω |
0.14456214030069 |
Real period |
R |
11.869697827695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941289 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12138bb3 294c4 |
Quadratic twists by: -7 17 |