Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bh |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5867016507056250000 = 24 · 34 · 58 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1275954,-542481548] |
[a1,a2,a3,a4,a6] |
Generators |
[-727:1377:1] |
Generators of the group modulo torsion |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
5.1458430460964 |
L(r)(E,1)/r! |
Ω |
0.14227131049294 |
Real period |
R |
2.2605765650626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106470gc3 210e3 |
Quadratic twists by: -3 13 |