Atkin-Lehner |
3- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395h |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.5454518195614E+30 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1587140212,-54636778885458] |
[a1,a2,a3,a4,a6] |
Generators |
[5145692250097131:391573050738029166:198461344537] |
Generators of the group modulo torsion |
j |
606515730925438004731931723399/2119961343705654144287109375 |
j-invariant |
L |
2.4849738484575 |
L(r)(E,1)/r! |
Ω |
0.013640296850184 |
Real period |
R |
15.181572497569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999713869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465l3 |
Quadratic twists by: -3 |