Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bz |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.5164088126425E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119706713163,-15941348561057081] |
[a1,a2,a3,a4,a6] |
Generators |
[-23482429384494892776889859306484811:11739993604118962654782883759835903:117556007059010636002612342189] |
Generators of the group modulo torsion |
j |
2211889682389423686563629156897/293403593785302 |
j-invariant |
L |
3.1866053572182 |
L(r)(E,1)/r! |
Ω |
0.0081165212138203 |
Real period |
R |
49.075911009119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999992115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042ck6 18018h5 |
Quadratic twists by: -3 -7 |