Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410cd |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-5467923631016000 = -1 · 26 · 53 · 77 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5068855,-4394625075] |
[a1,a2,a3,a4,a6] |
j |
-122423581669793912929/46476584000 |
j-invariant |
L |
3.6222179684733 |
L(r)(E,1)/r! |
Ω |
0.050308582606456 |
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 |
14630p1 |
Quadratic twists by: -7 |