Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472q |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-16970153984 = -1 · 223 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ 0 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748,-10064] |
[a1,a2,a3,a4,a6] |
Generators |
[38:128:1] |
Generators of the group modulo torsion |
j |
-610929/224 |
j-invariant |
L |
1.8932110417944 |
L(r)(E,1)/r! |
Ω |
0.44823453070222 |
Real period |
R |
1.0559265870685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472dm1 4046m1 129472bs1 |
Quadratic twists by: -4 8 17 |