Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016l |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3969024 = 212 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1289,18249] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:176:1] [3:120:1] |
Generators of the group modulo torsion |
j |
57870788032/969 |
j-invariant |
L |
6.6332437587135 |
L(r)(E,1)/r! |
Ω |
2.270429561534 |
Real period |
R |
2.9215809515104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016y1 31008t1 |
Quadratic twists by: -4 8 |