Atkin-Lehner |
3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82365f |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-10587099826935 = -1 · 35 · 5 · 176 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 6 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5485,-5488] |
[a1,a2,a3,a4,a6] |
Generators |
[1870:29119:8] |
Generators of the group modulo torsion |
j |
756058031/438615 |
j-invariant |
L |
4.7313502617714 |
L(r)(E,1)/r! |
Ω |
0.42798998141018 |
Real period |
R |
5.5274077290266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
285a1 |
Quadratic twists by: 17 |