Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bw |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6.71161191624E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1490858336,-22157074674540] |
[a1,a2,a3,a4,a6] |
Generators |
[-589948200206:1524365625:26463592] |
Generators of the group modulo torsion |
j |
1520949008089505953959842/278553515625 |
j-invariant |
L |
7.3516893506237 |
L(r)(E,1)/r! |
Ω |
0.024296317831858 |
Real period |
R |
12.60768761416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000549871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bl6 18480o5 |
Quadratic twists by: -4 -7 |