Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474l |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
749664 |
Modular degree for the optimal curve |
Δ |
-4304008512976302 = -1 · 2 · 33 · 13 · 1910 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 -4 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24435,3488123] |
[a1,a2,a3,a4,a6] |
Generators |
[-5245:265961:125] |
Generators of the group modulo torsion |
j |
-9747/26 |
j-invariant |
L |
6.3282177579249 |
L(r)(E,1)/r! |
Ω |
0.38596714098711 |
Real period |
R |
8.1978711266741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474bq1 84474bh1 |
Quadratic twists by: -3 -19 |