Atkin-Lehner |
2+ 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270j |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-3784521840 = -1 · 24 · 3 · 5 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-444,-4694] |
[a1,a2,a3,a4,a6] |
j |
-9648632960569/3784521840 |
j-invariant |
L |
2.041056142485 |
L(r)(E,1)/r! |
Ω |
0.51026403562126 |
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 |
50160y1 18810bc1 31350bn1 68970cj1 |
Quadratic twists by: -4 -3 5 -11 |