Atkin-Lehner |
3- 7- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471r |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
165006649236907737 = 38 · 712 · 23 · 79 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-807003,-278149464] |
[a1,a2,a3,a4,a6] |
Generators |
[61934:5379711:8] |
Generators of the group modulo torsion |
j |
79730031212947572913/226346569597953 |
j-invariant |
L |
6.8463249792475 |
L(r)(E,1)/r! |
Ω |
0.15931433345693 |
Real period |
R |
7.1622818579898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38157l4 |
Quadratic twists by: -3 |