Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fm |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-3569012140270344768 = -1 · 26 · 311 · 72 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,338710,-50132631] |
[a1,a2,a3,a4,a6] |
Generators |
[3587:215709:1] |
Generators of the group modulo torsion |
j |
120305466752972375/99913556179008 |
j-invariant |
L |
11.356590850861 |
L(r)(E,1)/r! |
Ω |
0.13815072866218 |
Real period |
R |
1.1417270834532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042i2 126126eo2 |
Quadratic twists by: -3 -7 |