Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bs |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7458634102500000000 = 28 · 36 · 510 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-538508,76435488] |
[a1,a2,a3,a4,a6] |
Generators |
[-477:15000:1] |
Generators of the group modulo torsion |
j |
4317586088880976/1864658525625 |
j-invariant |
L |
9.4206616631496 |
L(r)(E,1)/r! |
Ω |
0.21177900273772 |
Real period |
R |
3.7069545539785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994929 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bj2 |
Quadratic twists by: 5 |