Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850bz |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-32309356625000 = -1 · 23 · 56 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5538,315692] |
[a1,a2,a3,a4,a6] |
j |
-10218313/17576 |
j-invariant |
L |
5.2930475076312 |
L(r)(E,1)/r! |
Ω |
0.58811638973682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1274c2 650h2 |
Quadratic twists by: 5 -7 |