Atkin-Lehner |
2- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
10388b |
Isogeny class |
Conductor |
10388 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5544 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -3 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,1842] |
[a1,a2,a3,a4,a6] |
Generators |
[33:147:1] |
Generators of the group modulo torsion |
j |
114688/53 |
j-invariant |
L |
6.8339203644043 |
L(r)(E,1)/r! |
Ω |
1.2244138553712 |
Real period |
R |
0.62015345677676 |
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 |
41552v1 93492f1 10388i1 |
Quadratic twists by: -4 -3 -7 |