Atkin-Lehner |
2- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49856j |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-4186308608 = -1 · 217 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,191,3007] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:41:1] |
Generators of the group modulo torsion |
j |
5848414/31939 |
j-invariant |
L |
4.9908742377595 |
L(r)(E,1)/r! |
Ω |
0.99974196025244 |
Real period |
R |
1.2480406035249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49856d1 12464a1 |
Quadratic twists by: -4 8 |