Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390m |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6388624352262225920 = -1 · 242 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,133352,-120143642] |
[a1,a2,a3,a4,a6] |
Generators |
[48819:2072729:27] |
Generators of the group modulo torsion |
j |
109228214467449959/2660818139217920 |
j-invariant |
L |
3.5735358526206 |
L(r)(E,1)/r! |
Ω |
0.11523419593025 |
Real period |
R |
2.584255931853 |
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 |
43120cb2 48510cl2 26950bx2 5390h2 |
Quadratic twists by: -4 -3 5 -7 |