Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bx |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-383267635200 = -1 · 219 · 34 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 0 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5318,-154429] |
[a1,a2,a3,a4,a6] |
Generators |
[129:-1217:1] |
Generators of the group modulo torsion |
j |
-1843005386785/42467328 |
j-invariant |
L |
8.8757409042557 |
L(r)(E,1)/r! |
Ω |
0.27915164343484 |
Real period |
R |
0.83672131098633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150bk1 54150p1 |
Quadratic twists by: 5 -19 |