Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128k |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
213696 |
Modular degree for the optimal curve |
Δ |
-6925785802992 = -1 · 24 · 36 · 78 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9032,-356847] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1791:1] |
Generators of the group modulo torsion |
j |
-883525888/75087 |
j-invariant |
L |
10.579368915371 |
L(r)(E,1)/r! |
Ω |
0.24367747045064 |
Real period |
R |
3.6179547896766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128e1 |
Quadratic twists by: -7 |