Atkin-Lehner |
2+ 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350v |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
36416160000000000 = 214 · 32 · 510 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91876,-5539102] |
[a1,a2,a3,a4,a6] |
j |
5489125095409201/2330634240000 |
j-invariant |
L |
3.4184454861452 |
L(r)(E,1)/r! |
Ω |
0.28487045717871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050cx1 6270n1 |
Quadratic twists by: -3 5 |