Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7632h |
Isogeny class |
Conductor |
7632 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-9891072 = -1 · 28 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 -7 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,178] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] |
Generators of the group modulo torsion |
j |
-35152/53 |
j-invariant |
L |
4.9943425749522 |
L(r)(E,1)/r! |
Ω |
2.0612631094432 |
Real period |
R |
2.4229524858189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1908a1 30528bt1 848f1 |
Quadratic twists by: -4 8 -3 |