Atkin-Lehner |
3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18837d |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-10680579 = -1 · 36 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -5 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[11:24:1] |
Generators of the group modulo torsion |
j |
-16777216/14651 |
j-invariant |
L |
3.0881272010384 |
L(r)(E,1)/r! |
Ω |
0.87492501204752 |
Real period |
R |
1.7647953587539 |
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 |
2093c1 |
Quadratic twists by: -3 |