Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700l |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.3982748017561E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84285575,100213984750] |
[a1,a2,a3,a4,a6] |
Generators |
[931370:271398750:1331] |
Generators of the group modulo torsion |
j |
7020843884784/3603000625 |
j-invariant |
L |
6.5172862373398 |
L(r)(E,1)/r! |
Ω |
0.057722911802434 |
Real period |
R |
7.0566500736865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940a2 84700a2 |
Quadratic twists by: 5 -11 |