Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270a |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
97931607681600 = 26 · 36 · 52 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38958,2904948] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1842:1] |
Generators of the group modulo torsion |
j |
6539297416754410729/97931607681600 |
j-invariant |
L |
2.7650169446394 |
L(r)(E,1)/r! |
Ω |
0.60075968499868 |
Real period |
R |
1.150633528549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810ed2 |
Quadratic twists by: -3 |