Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-70574429738877120 = -1 · 26 · 38 · 5 · 711 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92085,6936255] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1731:1] |
Generators of the group modulo torsion |
j |
1349291235048644096/1102725464669955 |
j-invariant |
L |
8.6864264540562 |
L(r)(E,1)/r! |
Ω |
0.22367982564636 |
Real period |
R |
4.8542746474983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240ho1 57120bh1 |
Quadratic twists by: -4 8 |