Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430b |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
303804900000000 = 28 · 32 · 58 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70143,7071813] |
[a1,a2,a3,a4,a6] |
Generators |
[126:441:1] |
Generators of the group modulo torsion |
j |
38166856870016053369/303804900000000 |
j-invariant |
L |
3.1098225522555 |
L(r)(E,1)/r! |
Ω |
0.54817539565622 |
Real period |
R |
2.8365214645695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52290ci2 87150ch2 122010x2 |
Quadratic twists by: -3 5 -7 |