Atkin-Lehner |
2+ 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072d |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1657336540972032 = -1 · 210 · 37 · 19 · 794 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7779,-1976402] |
[a1,a2,a3,a4,a6] |
Generators |
[3053662682061531854:-73682658741860097930:5083922989983349] |
Generators of the group modulo torsion |
j |
-69737687428/2220154617 |
j-invariant |
L |
10.373383200617 |
L(r)(E,1)/r! |
Ω |
0.20604823741311 |
Real period |
R |
25.172219988143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36024f3 |
Quadratic twists by: -3 |