Atkin-Lehner |
2- 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21012f |
Isogeny class |
Conductor |
21012 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-252144 = -1 · 24 · 32 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 3 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
-1755904/15759 |
j-invariant |
L |
4.9619300535284 |
L(r)(E,1)/r! |
Ω |
1.3174131224447 |
Real period |
R |
1.8832095904436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048m1 63036g1 |
Quadratic twists by: -4 -3 |