Atkin-Lehner |
3- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21321c |
Isogeny class |
Conductor |
21321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
-5181003 = -1 · 37 · 23 · 103 |
Discriminant |
Eigenvalues |
1 3- -4 2 2 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
6967871/7107 |
j-invariant |
L |
4.814664659229 |
L(r)(E,1)/r! |
Ω |
1.3150775758502 |
Real period |
R |
0.91528149130598 |
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 |
7107a1 |
Quadratic twists by: -3 |