Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810k |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-9361059840 = -1 · 212 · 37 · 5 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,396,-3632] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] |
Generators of the group modulo torsion |
j |
9407293631/12840960 |
j-invariant |
L |
4.4272917834172 |
L(r)(E,1)/r! |
Ω |
0.68994259912213 |
Real period |
R |
3.2084493616211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270m1 94050dg1 |
Quadratic twists by: -3 5 |