Atkin-Lehner |
3- 7+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111069c |
Isogeny class |
Conductor |
111069 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-124369089243903 = -1 · 314 · 73 · 41 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7812,600723] |
[a1,a2,a3,a4,a6] |
Generators |
[18978:155975:216] |
Generators of the group modulo torsion |
j |
-72329282754625/170602317207 |
j-invariant |
L |
6.9136350579318 |
L(r)(E,1)/r! |
Ω |
0.52049878889845 |
Real period |
R |
6.64135553014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37023a1 |
Quadratic twists by: -3 |