Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850be |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
285187500 = 22 · 33 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1580,24547] |
[a1,a2,a3,a4,a6] |
Generators |
[13:71:1] |
Generators of the group modulo torsion |
j |
1033364331/676 |
j-invariant |
L |
5.9748387297611 |
L(r)(E,1)/r! |
Ω |
1.7162707747681 |
Real period |
R |
0.87032285604354 |
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 |
46800cl2 5850c2 234c2 76050i2 |
Quadratic twists by: -4 -3 5 13 |