Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016bv |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1016070144 = 220 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1249,-16511] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:4:1] [570:4009:8] |
Generators of the group modulo torsion |
j |
822656953/3876 |
j-invariant |
L |
7.8312703457343 |
L(r)(E,1)/r! |
Ω |
0.80325439960741 |
Real period |
R |
9.7494272668192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016bg1 15504y1 |
Quadratic twists by: -4 8 |