Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055o |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-4330808575455 = -1 · 3 · 5 · 17 · 198 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-369,-100193] |
[a1,a2,a3,a4,a6] |
Generators |
[85:653:1] |
Generators of the group modulo torsion |
j |
-117649/92055 |
j-invariant |
L |
6.6748089281432 |
L(r)(E,1)/r! |
Ω |
0.35015703668126 |
Real period |
R |
4.7655824640022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999961182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845c1 |
Quadratic twists by: -19 |