Atkin-Lehner |
2- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21904l |
Isogeny class |
Conductor |
21904 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-30706253824 = -1 · 214 · 374 |
Discriminant |
Eigenvalues |
2- -2 -1 0 -2 -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456,9076] |
[a1,a2,a3,a4,a6] |
Generators |
[308:-5402:1] [3:88:1] |
Generators of the group modulo torsion |
j |
-1369/4 |
j-invariant |
L |
5.1899050771989 |
L(r)(E,1)/r! |
Ω |
1.0334043686022 |
Real period |
R |
0.83702392385174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2738a1 87616bi1 21904k1 |
Quadratic twists by: -4 8 37 |