Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50336b |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1497193984 = -1 · 29 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 0 -1 -3 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-803,-8954] |
[a1,a2,a3,a4,a6] |
Generators |
[33:22:1] |
Generators of the group modulo torsion |
j |
-84027672/2197 |
j-invariant |
L |
3.5974410747018 |
L(r)(E,1)/r! |
Ω |
0.44773430250083 |
Real period |
R |
2.0086919042072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336a1 100672cg1 50336p1 |
Quadratic twists by: -4 8 -11 |