Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480h |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
165162240 = 28 · 37 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-1172] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:9:1] |
Generators of the group modulo torsion |
j |
7023616/885 |
j-invariant |
L |
5.0088370402408 |
L(r)(E,1)/r! |
Ω |
1.2387902645652 |
Real period |
R |
1.0108323385156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21240h1 14160h1 |
Quadratic twists by: -4 -3 |