Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bh |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30588740000000000 = 211 · 510 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-689675,220291750] |
[a1,a2,a3,a4,a6] |
Generators |
[15170:605625:8] |
Generators of the group modulo torsion |
j |
9636491538/8125 |
j-invariant |
L |
4.1659908715937 |
L(r)(E,1)/r! |
Ω |
0.3687723643471 |
Real period |
R |
5.6484584976722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000195362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480f4 2600j3 |
Quadratic twists by: 5 -7 |