Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126ec |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
372932383824 = 24 · 39 · 72 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56594,5196097] |
[a1,a2,a3,a4,a6] |
Generators |
[139:-43:1] [31:1847:1] |
Generators of the group modulo torsion |
j |
20784535191819/386672 |
j-invariant |
L |
15.432938123262 |
L(r)(E,1)/r! |
Ω |
0.87689048015333 |
Real period |
R |
2.1999523425639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126k1 126126dl2 |
Quadratic twists by: -3 -7 |