Atkin-Lehner |
2- 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bq |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
27256320 |
Modular degree for the optimal curve |
Δ |
1.284529009473E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121786778,-487690810919] |
[a1,a2,a3,a4,a6] |
Generators |
[-5167:62695:1] |
Generators of the group modulo torsion |
j |
274029048770184932711191641/17620425370000000000000 |
j-invariant |
L |
10.303159902386 |
L(r)(E,1)/r! |
Ω |
0.045629715712478 |
Real period |
R |
2.8948633902979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410d1 |
Quadratic twists by: -3 |