Atkin-Lehner |
2- 3+ 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274y |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7846270925334156 = 22 · 35 · 710 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73772,6397121] |
[a1,a2,a3,a4,a6] |
Generators |
[345103:2738053:1331] |
Generators of the group modulo torsion |
j |
44401613569965312193/7846270925334156 |
j-invariant |
L |
8.0268675773769 |
L(r)(E,1)/r! |
Ω |
0.39624577931686 |
Real period |
R |
10.128647415773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822k2 |
Quadratic twists by: -3 |