Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504l |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-47315200983371776 = -1 · 212 · 72 · 138 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37444,-10087040] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1820:1] [736:20400:1] |
Generators of the group modulo torsion |
j |
1417458895858368/11551562740081 |
j-invariant |
L |
8.2451101376827 |
L(r)(E,1)/r! |
Ω |
0.17763551909973 |
Real period |
R |
5.8019858440119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49504t2 99008bw1 |
Quadratic twists by: -4 8 |