Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890dv |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-22117811996700 = -1 · 22 · 33 · 52 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2582,232481] |
[a1,a2,a3,a4,a6] |
j |
-599077107/6962900 |
j-invariant |
L |
4.6140770432045 |
L(r)(E,1)/r! |
Ω |
0.57675976651997 |
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 |
127890o1 18270ba1 |
Quadratic twists by: -3 -7 |