Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850y |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-54431152343750 = -1 · 2 · 514 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109750,-14044750] |
[a1,a2,a3,a4,a6] |
Generators |
[8315:753505:1] |
Generators of the group modulo torsion |
j |
-27279055902727/10156250 |
j-invariant |
L |
3.3920980713339 |
L(r)(E,1)/r! |
Ω |
0.13114695524487 |
Real period |
R |
6.4662158282679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370u1 31850h1 |
Quadratic twists by: 5 -7 |