Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040cm |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
329584640 = 212 · 5 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,-1488] |
[a1,a2,a3,a4,a6] |
Generators |
[1572:62304:1] |
Generators of the group modulo torsion |
j |
594823321/80465 |
j-invariant |
L |
11.255653385318 |
L(r)(E,1)/r! |
Ω |
1.1772092665699 |
Real period |
R |
4.7806510161689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315c1 |
Quadratic twists by: -4 |