Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365a |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
5262593481225 = 33 · 52 · 177 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1312788,-579495933] |
[a1,a2,a3,a4,a6] |
Generators |
[81955982831081728:-4491154498103007925:24207794634752] |
Generators of the group modulo torsion |
j |
10366078551442921/218025 |
j-invariant |
L |
3.6696170683002 |
L(r)(E,1)/r! |
Ω |
0.14104278101537 |
Real period |
R |
26.017758921311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845g1 |
Quadratic twists by: 17 |