Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382co |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
601920 |
Modular degree for the optimal curve |
Δ |
-1556655563462934528 = -1 · 219 · 36 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 3 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-296231,86413407] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:30446:1] |
Generators of the group modulo torsion |
j |
-18396908233/9961472 |
j-invariant |
L |
8.7644310690234 |
L(r)(E,1)/r! |
Ω |
0.24874306126873 |
Real period |
R |
0.61815572983209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598j1 41382u1 |
Quadratic twists by: -3 -11 |