Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bk |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-5988556800000000 = -1 · 219 · 34 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-132951,-19037702] |
[a1,a2,a3,a4,a6] |
j |
-1843005386785/42467328 |
j-invariant |
L |
0.49936164028623 |
L(r)(E,1)/r! |
Ω |
0.12484041015022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150bx1 54150cb1 |
Quadratic twists by: 5 -19 |