Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384t |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
726493888512 = 216 · 35 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2584,30448] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:98:1] |
Generators of the group modulo torsion |
j |
466025146777/177366672 |
j-invariant |
L |
2.8985327290866 |
L(r)(E,1)/r! |
Ω |
0.82262388128381 |
Real period |
R |
1.7617606265959 |
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 |
798d1 25536cs1 19152bp1 44688cw1 |
Quadratic twists by: -4 8 -3 -7 |