Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5840c |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2182758400000000 = -1 · 220 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6637,2238162] |
[a1,a2,a3,a4,a6] |
Generators |
[7653:140014:27] |
Generators of the group modulo torsion |
j |
7893674555031/532900000000 |
j-invariant |
L |
3.7534683748784 |
L(r)(E,1)/r! |
Ω |
0.35298031752429 |
Real period |
R |
5.316823897157 |
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 |
730a2 23360z2 52560bm2 29200j2 |
Quadratic twists by: -4 8 -3 5 |