Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328m |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
255744 = 28 · 33 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-591,5530] |
[a1,a2,a3,a4,a6] |
Generators |
[2:66:1] |
Generators of the group modulo torsion |
j |
3302801136/37 |
j-invariant |
L |
3.2075097524031 |
L(r)(E,1)/r! |
Ω |
2.8212587014875 |
Real period |
R |
2.2738146988874 |
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 |
1332b2 21312bc2 5328k2 |
Quadratic twists by: -4 8 -3 |