Atkin-Lehner |
3- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265g |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.6919824692286E+18 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-449910,-189431879] |
[a1,a2,a3,a4,a6] |
Generators |
[52527754033424670:-1089126740712665551:51122642037544] |
Generators of the group modulo torsion |
j |
-13815724531865297761/13294900506486465 |
j-invariant |
L |
5.0253237820912 |
L(r)(E,1)/r! |
Ω |
0.088689689104337 |
Real period |
R |
28.330935826795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755e3 |
Quadratic twists by: -3 |