Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18400u |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-97336000000000 = -1 · 212 · 59 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- -3 0 -4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11000,-650000] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1196:1] [225:2875:1] |
Generators of the group modulo torsion |
j |
-18399744/12167 |
j-invariant |
L |
6.6327403034951 |
L(r)(E,1)/r! |
Ω |
0.22638716109136 |
Real period |
R |
2.4415181318587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400r1 36800dl1 18400k1 |
Quadratic twists by: -4 8 5 |