Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050d |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-33833800 = -1 · 23 · 52 · 7 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,0,-280] |
[a1,a2,a3,a4,a6] |
Generators |
[1345:3493:125] |
Generators of the group modulo torsion |
j |
-625/1353352 |
j-invariant |
L |
5.6668778644463 |
L(r)(E,1)/r! |
Ω |
0.94841964157692 |
Real period |
R |
5.9750743405355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050cd1 |
Quadratic twists by: 5 |