Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31164a |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
55944 |
Modular degree for the optimal curve |
Δ |
-131990883696 = -1 · 24 · 33 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 6 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11090,453573] |
[a1,a2,a3,a4,a6] |
j |
-1635510016/1431 |
j-invariant |
L |
3.0984763876592 |
L(r)(E,1)/r! |
Ω |
1.0328254625548 |
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 |
124656da1 93492g1 31164l1 |
Quadratic twists by: -4 -3 -7 |