Atkin-Lehner |
2+ 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494r |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-119631336603254784 = -1 · 217 · 311 · 72 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48330,16118644] |
[a1,a2,a3,a4,a6] |
j |
17125431168696479/164103342391296 |
j-invariant |
L |
1.9461203229402 |
L(r)(E,1)/r! |
Ω |
0.2432650347175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498bh1 |
Quadratic twists by: -3 |