Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126ck |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
140625391104198 = 2 · 38 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54252,-4816638] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:192:1] [-131:237:1] |
Generators of the group modulo torsion |
j |
205901592625/1639638 |
j-invariant |
L |
9.4430291363279 |
L(r)(E,1)/r! |
Ω |
0.3129707840446 |
Real period |
R |
3.7715298150396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999896684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042cz2 18018p2 |
Quadratic twists by: -3 -7 |