Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
784j |
Isogeny class |
Conductor |
784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-13492928512 = -1 · 214 · 77 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,6292] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:98:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
1.7509775464191 |
L(r)(E,1)/r! |
Ω |
1.1233153024138 |
Real period |
R |
0.38968968522385 |
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 |
98a1 3136y1 7056bp1 19600cp1 |
Quadratic twists by: -4 8 -3 5 |