Atkin-Lehner |
2- 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780a |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2270630880000 = -1 · 28 · 39 · 54 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2592,51732] |
[a1,a2,a3,a4,a6] |
j |
382205952/450625 |
j-invariant |
L |
2.1909286054492 |
L(r)(E,1)/r! |
Ω |
0.54773251869256 |
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 |
129780d1 |
Quadratic twists by: -3 |