Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055s |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
512640 |
Modular degree for the optimal curve |
Δ |
8901955909845 = 310 · 5 · 174 · 192 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-89876,10339940] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1300:1] |
Generators of the group modulo torsion |
j |
222409098148040704/24659157645 |
j-invariant |
L |
3.7649293067368 |
L(r)(E,1)/r! |
Ω |
0.70280154808057 |
Real period |
R |
0.2678515235001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92055c1 |
Quadratic twists by: -19 |