Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cj |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-25866667306688472 = -1 · 23 · 38 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200399,-35335825] |
[a1,a2,a3,a4,a6] |
Generators |
[12525:1394524:1] |
Generators of the group modulo torsion |
j |
-47071057/1368 |
j-invariant |
L |
9.9284548142924 |
L(r)(E,1)/r! |
Ω |
0.1126294854047 |
Real period |
R |
7.345955915107 |
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 |
13794q1 41382q1 |
Quadratic twists by: -3 -11 |