Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ds |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
78928556134982400 = 28 · 34 · 52 · 712 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204836,33091836] |
[a1,a2,a3,a4,a6] |
Generators |
[48221:10588410:1] |
Generators of the group modulo torsion |
j |
31558509702736/2620631475 |
j-invariant |
L |
5.3831301142218 |
L(r)(E,1)/r! |
Ω |
0.33502453965958 |
Real period |
R |
4.0169670175096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bf2 18480cx2 |
Quadratic twists by: -4 -7 |