Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128s |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8272216064 = 220 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-219809,39739169] |
[a1,a2,a3,a4,a6] |
Generators |
[19:5964:1] |
Generators of the group modulo torsion |
j |
13062552753151/92 |
j-invariant |
L |
7.3601000593803 |
L(r)(E,1)/r! |
Ω |
0.90112690952904 |
Real period |
R |
4.0838310231725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bo2 2254e2 72128v2 |
Quadratic twists by: -4 8 -7 |