Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11408g |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-92791576832 = -1 · 28 · 233 · 313 |
Discriminant |
Eigenvalues |
2- -1 0 -5 6 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548,-15284] |
[a1,a2,a3,a4,a6] |
Generators |
[57:368:1] |
Generators of the group modulo torsion |
j |
-71222578000/362467097 |
j-invariant |
L |
2.9661042235339 |
L(r)(E,1)/r! |
Ω |
0.44495715915128 |
Real period |
R |
2.2220148333617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2852a2 45632t2 102672bg2 |
Quadratic twists by: -4 8 -3 |