Atkin-Lehner |
2- 3- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23484d |
Isogeny class |
Conductor |
23484 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-20817720576 = -1 · 28 · 37 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -4 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-692,9636] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:114:1] [-20:126:1] |
Generators of the group modulo torsion |
j |
-143360488528/81319221 |
j-invariant |
L |
7.4121204833749 |
L(r)(E,1)/r! |
Ω |
1.1252057604737 |
Real period |
R |
0.15684158873636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93936e1 70452i1 |
Quadratic twists by: -4 -3 |