Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110j |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-356854139327911680 = -1 · 28 · 312 · 5 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-167752,-39126464] |
[a1,a2,a3,a4,a6] |
Generators |
[12377876815:-1967204643926:493039] |
Generators of the group modulo torsion |
j |
-4437543642183289/3033210136320 |
j-invariant |
L |
3.5679338243262 |
L(r)(E,1)/r! |
Ω |
0.11447443044259 |
Real period |
R |
15.583977183951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330du1 95550jx1 2730n1 |
Quadratic twists by: -3 5 -7 |