Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382k |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-3351942 = -1 · 2 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,270] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] |
Generators of the group modulo torsion |
j |
-471625/38 |
j-invariant |
L |
4.7679240277105 |
L(r)(E,1)/r! |
Ω |
2.4607650704275 |
Real period |
R |
1.9375779041289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598m1 41382ce1 |
Quadratic twists by: -3 -11 |