Atkin-Lehner |
7- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12341c |
Isogeny class |
Conductor |
12341 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-145216547 = -1 · 72 · 413 · 43 |
Discriminant |
Eigenvalues |
0 1 0 7- -6 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-413,3148] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:45:1] [14:17:1] |
Generators of the group modulo torsion |
j |
-7809531904000/145216547 |
j-invariant |
L |
6.1426389970165 |
L(r)(E,1)/r! |
Ω |
1.8358754328851 |
Real period |
R |
5.0188364256528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111069d1 86387a1 |
Quadratic twists by: -3 -7 |