Atkin-Lehner |
2+ 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110w |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
401946889420800 = 220 · 39 · 52 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101664,-12413952] |
[a1,a2,a3,a4,a6] |
j |
159404349062435329/551367475200 |
j-invariant |
L |
2.1393796964345 |
L(r)(E,1)/r! |
Ω |
0.26742246375534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370t1 |
Quadratic twists by: -3 |