Atkin-Lehner |
2- 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
108290x |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
532037548474705000 = 23 · 54 · 78 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -2 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-423198,-99879419] |
[a1,a2,a3,a4,a6] |
Generators |
[-95790:189887:216] |
Generators of the group modulo torsion |
j |
1454016214857969/92290705000 |
j-invariant |
L |
18.308863639627 |
L(r)(E,1)/r! |
Ω |
0.18792669220523 |
Real period |
R |
5.4125312189483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108290bm1 |
Quadratic twists by: -7 |