Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400cn |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5620500900000000 = 28 · 34 · 58 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45508,991012] |
[a1,a2,a3,a4,a6] |
Generators |
[372:-5950:1] |
Generators of the group modulo torsion |
j |
2605772594896/1405125225 |
j-invariant |
L |
4.5447849305564 |
L(r)(E,1)/r! |
Ω |
0.37349056597486 |
Real period |
R |
0.76052538932742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002169 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280x2 |
Quadratic twists by: 5 |