Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382n |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
252072065674395648 = 214 · 37 · 117 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-223812,32879952] |
[a1,a2,a3,a4,a6] |
Generators |
[-371:8232:1] |
Generators of the group modulo torsion |
j |
960044289625/195182592 |
j-invariant |
L |
4.9391561831801 |
L(r)(E,1)/r! |
Ω |
0.29497461053895 |
Real period |
R |
2.0930429292511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794bh1 3762p1 |
Quadratic twists by: -3 -11 |