Atkin-Lehner |
2- 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920ba |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-495437230080 = -1 · 212 · 33 · 5 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8581,-304979] |
[a1,a2,a3,a4,a6] |
Generators |
[10188:1028239:1] |
Generators of the group modulo torsion |
j |
-17061927030784/120956355 |
j-invariant |
L |
5.026503130694 |
L(r)(E,1)/r! |
Ω |
0.24791166376551 |
Real period |
R |
6.75845980245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000017575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7995h1 |
Quadratic twists by: -4 |