Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162d |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1203840 |
Modular degree for the optimal curve |
Δ |
-5.190109839766E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 0 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21310198,-38031445676] |
[a1,a2,a3,a4,a6] |
j |
-174562192958689/846526464 |
j-invariant |
L |
1.1239492059516 |
L(r)(E,1)/r! |
Ω |
0.035123412685987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296dc1 45486bf1 106134be1 15162bb1 |
Quadratic twists by: -4 -3 -7 -19 |