Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8514d |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1558184087692303632 = -1 · 24 · 330 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,263619,-29945835] |
[a1,a2,a3,a4,a6] |
Generators |
[2336590:-116662447:1000] |
Generators of the group modulo torsion |
j |
2779235713829366063/2137426732088208 |
j-invariant |
L |
3.7223854052182 |
L(r)(E,1)/r! |
Ω |
0.14926356868572 |
Real period |
R |
12.469169262112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68112bu3 2838e4 93654bp3 |
Quadratic twists by: -4 -3 -11 |