Atkin-Lehner |
7+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118769a |
Isogeny class |
Conductor |
118769 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-89228136663610049 = -1 · 79 · 196 · 47 |
Discriminant |
Eigenvalues |
1 1 3 7+ 3 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,88798,10147153] |
[a1,a2,a3,a4,a6] |
Generators |
[124802145852335013097:4727340362434233763276:88869988626536593] |
Generators of the group modulo torsion |
j |
1645957774943/1896619529 |
j-invariant |
L |
13.785570873498 |
L(r)(E,1)/r! |
Ω |
0.22643257955234 |
Real period |
R |
30.440784848081 |
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 |
329a1 |
Quadratic twists by: -19 |