Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bt |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1379040000 = 28 · 3 · 54 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380,-2100] |
[a1,a2,a3,a4,a6] |
Generators |
[37:182:1] |
Generators of the group modulo torsion |
j |
23767139536/5386875 |
j-invariant |
L |
5.6604233235379 |
L(r)(E,1)/r! |
Ω |
1.0986521395196 |
Real period |
R |
2.5760762301178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260n2 |
Quadratic twists by: -4 |