Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126u |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
33696 |
Modular degree for the optimal curve |
Δ |
-2170971611136 = -1 · 213 · 36 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -2 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3019,-31539] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2640:1] |
Generators of the group modulo torsion |
j |
4175614324727/2978013184 |
j-invariant |
L |
7.1915236419972 |
L(r)(E,1)/r! |
Ω |
0.46350682635523 |
Real period |
R |
0.19891620966243 |
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 |
2014a1 |
Quadratic twists by: -3 |