Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fh |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12981534720 = 215 · 3 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7105,-228095] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:7:1] |
Generators of the group modulo torsion |
j |
1210673810312/396165 |
j-invariant |
L |
5.4822307274617 |
L(r)(E,1)/r! |
Ω |
0.52001032763641 |
Real period |
R |
2.6356355034945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920im4 36960bo4 |
Quadratic twists by: -4 8 |