Atkin-Lehner |
2+ 3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270q |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
113832604269037500 = 22 · 3 · 55 · 72 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163702,19589416] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:-6556:1] |
Generators of the group modulo torsion |
j |
485165391333734016361/113832604269037500 |
j-invariant |
L |
3.976655818 |
L(r)(E,1)/r! |
Ω |
0.31304205690676 |
Real period |
R |
0.15879079704552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dc2 |
Quadratic twists by: -3 |