Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720v |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5478809600 = 220 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-496,2496] |
[a1,a2,a3,a4,a6] |
Generators |
[21:30:1] |
Generators of the group modulo torsion |
j |
3301293169/1337600 |
j-invariant |
L |
6.0804003790376 |
L(r)(E,1)/r! |
Ω |
1.2294833358856 |
Real period |
R |
2.4727461534312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090l1 66880df1 83600bv1 |
Quadratic twists by: -4 8 5 |