Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082n |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4855095549827970678 = 2 · 32 · 712 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-424350,-9085166] |
[a1,a2,a3,a4,a6] |
j |
4770223741048753/2740574865798 |
j-invariant |
L |
2.4391079366339 |
L(r)(E,1)/r! |
Ω |
0.20325899471949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40656bj3 15246bu3 127050fi3 35574o3 |
Quadratic twists by: -4 -3 5 -7 |