Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dy |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.5985003563235E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112188321,-457400370879] |
[a1,a2,a3,a4,a6] |
Generators |
[33461748454394138252031126730585902401:-15265684521859029035332568972397384042300:160350022414588711954339551815171] |
Generators of the group modulo torsion |
j |
-595698819458679957260521/99124922039928750 |
j-invariant |
L |
5.5119913293034 |
L(r)(E,1)/r! |
Ω |
0.023194141963785 |
Real period |
R |
59.411459685834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680cl2 31920cg2 |
Quadratic twists by: -4 8 |