Atkin-Lehner |
2- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662z |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10897920 |
Modular degree for the optimal curve |
Δ |
-223894421462404 = -1 · 22 · 72 · 118 · 732 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11- 7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47176269,-124738909657] |
[a1,a2,a3,a4,a6] |
j |
-54169272728929437937/1044484 |
j-invariant |
L |
11.290801175584 |
L(r)(E,1)/r! |
Ω |
0.028803062127989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662q1 |
Quadratic twists by: -11 |