Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400o |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-260876000000 = -1 · 28 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,24563] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:154:1] |
Generators of the group modulo torsion |
j |
-1024/65219 |
j-invariant |
L |
5.5102389746267 |
L(r)(E,1)/r! |
Ω |
0.78330661761929 |
Real period |
R |
0.58621562858042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800i1 123200b1 616d1 107800bz1 |
Quadratic twists by: -4 8 5 -7 |