Atkin-Lehner |
2+ 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710a |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-229530455000 = -1 · 23 · 54 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42024,3312366] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1563:1] |
Generators of the group modulo torsion |
j |
-8207313441539837689/229530455000 |
j-invariant |
L |
3.6621402887052 |
L(r)(E,1)/r! |
Ω |
0.9230012332715 |
Real period |
R |
1.9838219910742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88550bg1 123970n1 |
Quadratic twists by: 5 -7 |