Atkin-Lehner |
2- 3+ 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31620g |
Isogeny class |
Conductor |
31620 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-9486000 = -1 · 24 · 32 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,150] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
-1048576/592875 |
j-invariant |
L |
5.9156680183307 |
L(r)(E,1)/r! |
Ω |
1.8643048139605 |
Real period |
R |
0.17628459722873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480bz1 94860h1 |
Quadratic twists by: -4 -3 |