Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bk |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-10338994120000 = -1 · 26 · 54 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4875,-80275] |
[a1,a2,a3,a4,a6] |
Generators |
[50:515:1] |
Generators of the group modulo torsion |
j |
174196775/140608 |
j-invariant |
L |
6.0054678039883 |
L(r)(E,1)/r! |
Ω |
0.40099707511324 |
Real period |
R |
2.4960563624611 |
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 |
31850cc2 650g2 |
Quadratic twists by: 5 -7 |