Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126co |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7391284464442360482 = 2 · 322 · 77 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4768983,4007602899] |
[a1,a2,a3,a4,a6] |
j |
139857357356642017/86179535442 |
j-invariant |
L |
1.8600825956641 |
L(r)(E,1)/r! |
Ω |
0.23251036829371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042da4 18018r3 |
Quadratic twists by: -3 -7 |