Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779k |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4000 |
Modular degree for the optimal curve |
Δ |
-40286379 = -1 · 3 · 75 · 17 · 47 |
Discriminant |
Eigenvalues |
0 3- 3 7- 2 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-99,455] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
-108394872832/40286379 |
j-invariant |
L |
6.4859619514975 |
L(r)(E,1)/r! |
Ω |
1.9199736358109 |
Real period |
R |
0.67563031392962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50337q1 117453k1 |
Quadratic twists by: -3 -7 |