Atkin-Lehner |
2- 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970l |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45259256250000 = 24 · 34 · 58 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11726,-371077] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:227:1] |
Generators of the group modulo torsion |
j |
178309998550446049/45259256250000 |
j-invariant |
L |
4.54059383571 |
L(r)(E,1)/r! |
Ω |
0.46736259880099 |
Real period |
R |
2.4288388969072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71760bt2 26910v2 44850u2 116610o2 |
Quadratic twists by: -4 -3 5 13 |