Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382ck |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-202679114913792 = -1 · 211 · 316 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16259,-1047549] |
[a1,a2,a3,a4,a6] |
Generators |
[683:17154:1] |
Generators of the group modulo torsion |
j |
-5388492278257/2297714688 |
j-invariant |
L |
9.3340067561953 |
L(r)(E,1)/r! |
Ω |
0.20708817029497 |
Real period |
R |
1.0243777656832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794j1 41382r1 |
Quadratic twists by: -3 -11 |