Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1332b |
Isogeny class |
Conductor |
1332 |
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 |
[226:143:8] |
Generators of the group modulo torsion |
j |
3302801136/37 |
j-invariant |
L |
2.4840088973789 |
L(r)(E,1)/r! |
Ω |
0.9682844922351 |
Real period |
R |
5.1307418786499 |
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 |
5328m2 21312a2 1332a2 33300a2 |
Quadratic twists by: -4 8 -3 5 |