Atkin-Lehner |
3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85731a |
Isogeny class |
Conductor |
85731 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.5611671377898E+22 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 0 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6328159,-8586405470] |
[a1,a2,a3,a4,a6] |
Generators |
[1309009011243353646521842820:85692491970094035956388533255:228887999845442568478016] |
Generators of the group modulo torsion |
j |
-5900011075468873/3286595532609 |
j-invariant |
L |
6.278508205644 |
L(r)(E,1)/r! |
Ω |
0.046393847431843 |
Real period |
R |
33.832655392058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2091b2 |
Quadratic twists by: 41 |