Atkin-Lehner |
2- 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080bs |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2948140800 = 28 · 34 · 52 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-507596,139026504] |
[a1,a2,a3,a4,a6] |
Generators |
[367:1518:1] |
Generators of the group modulo torsion |
j |
56498793736800881104/11516175 |
j-invariant |
L |
8.3782240682895 |
L(r)(E,1)/r! |
Ω |
0.8318449642544 |
Real period |
R |
2.5179644161643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020e2 |
Quadratic twists by: -4 |