Atkin-Lehner |
2+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49856d |
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 |
[47:328:1] |
Generators of the group modulo torsion |
j |
5848414/31939 |
j-invariant |
L |
4.127996390007 |
L(r)(E,1)/r! |
Ω |
0.69541509472606 |
Real period |
R |
1.4840044533508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49856j1 6232a1 |
Quadratic twists by: -4 8 |