Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432bb |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
598050338256 = 24 · 33 · 77 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2417,27420] |
[a1,a2,a3,a4,a6] |
Generators |
[460:9800:1] |
Generators of the group modulo torsion |
j |
829898752/317709 |
j-invariant |
L |
6.237833598057 |
L(r)(E,1)/r! |
Ω |
0.83566359684891 |
Real period |
R |
3.7322635685705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24108g1 13776r1 |
Quadratic twists by: -4 -7 |