Atkin-Lehner |
3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5733b |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-26304786963 = -1 · 33 · 78 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,505,-6590] |
[a1,a2,a3,a4,a6] |
Generators |
[16:65:1] |
Generators of the group modulo torsion |
j |
4492125/8281 |
j-invariant |
L |
2.5000806193343 |
L(r)(E,1)/r! |
Ω |
0.62256358540521 |
Real period |
R |
1.0039458932163 |
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 |
91728ct2 5733a2 819b2 74529i2 |
Quadratic twists by: -4 -3 -7 13 |