Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5733f |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-64630861568091 = -1 · 36 · 79 · 133 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5586,351832] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1543:1] |
Generators of the group modulo torsion |
j |
224755712/753571 |
j-invariant |
L |
2.4192881407022 |
L(r)(E,1)/r! |
Ω |
0.43930836706325 |
Real period |
R |
0.68837982670209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728ep2 637b2 819e2 74529v2 |
Quadratic twists by: -4 -3 -7 13 |