Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576cp |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-566487110647808 = -1 · 224 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10388,1070160] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:624:1] [28:1176:1] |
Generators of the group modulo torsion |
j |
4019679/18368 |
j-invariant |
L |
7.9538729315138 |
L(r)(E,1)/r! |
Ω |
0.37112188283425 |
Real period |
R |
10.715984821985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576be1 32144u1 18368q1 |
Quadratic twists by: -4 8 -7 |