Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328k |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
186437376 = 28 · 39 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5319,-149310] |
[a1,a2,a3,a4,a6] |
Generators |
[139372486:15945009875:10648] |
Generators of the group modulo torsion |
j |
3302801136/37 |
j-invariant |
L |
4.3786278943238 |
L(r)(E,1)/r! |
Ω |
0.55903931224408 |
Real period |
R |
15.66482999826 |
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 |
1332a2 21312be2 5328m2 |
Quadratic twists by: -4 8 -3 |