Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bv |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
11200549806022500 = 22 · 32 · 54 · 76 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-105301,-12170377] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:1038:1] |
Generators of the group modulo torsion |
j |
129128306828616880849/11200549806022500 |
j-invariant |
L |
6.3641159834019 |
L(r)(E,1)/r! |
Ω |
0.26649380148334 |
Real period |
R |
1.9900763007049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810ce2 |
Quadratic twists by: -3 |