Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kb |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8883302400 = -1 · 212 · 36 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,455,-2425] |
[a1,a2,a3,a4,a6] |
Generators |
[23:144:1] |
Generators of the group modulo torsion |
j |
2537716544/2168775 |
j-invariant |
L |
9.6270253136286 |
L(r)(E,1)/r! |
Ω |
0.71798879350212 |
Real period |
R |
1.1173602103239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hn2 57120bg1 |
Quadratic twists by: -4 8 |