Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99416i |
Isogeny class |
Conductor |
99416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.2852992013387E+24 |
Discriminant |
Eigenvalues |
2- 0 2 2 -6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136249339,-620188084170] |
[a1,a2,a3,a4,a6] |
Generators |
[71403646887632245373497153085635718985219100649802:-1876521409623858255283771630778767227264561140634160:5170679735083282904040843872489966710360390761] |
Generators of the group modulo torsion |
j |
-5658527665998729954/86687737719307 |
j-invariant |
L |
6.1974678851598 |
L(r)(E,1)/r! |
Ω |
0.022074484705515 |
Real period |
R |
70.188137745493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999951425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5848g2 |
Quadratic twists by: 17 |