Atkin-Lehner |
5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
31775d |
Isogeny class |
Conductor |
31775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-99296875 = -1 · 57 · 31 · 41 |
Discriminant |
Eigenvalues |
-2 0 5+ -3 -3 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-425,3406] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:62:1] [10:-13:1] |
Generators of the group modulo torsion |
j |
-543338496/6355 |
j-invariant |
L |
3.8062352579333 |
L(r)(E,1)/r! |
Ω |
1.9005745451301 |
Real period |
R |
0.50066903027915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6355e1 |
Quadratic twists by: 5 |