Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432z |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3530889197063424 = -1 · 28 · 35 · 77 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 -3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159756,24796332] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:6076:1] |
Generators of the group modulo torsion |
j |
-14971653224656/117234621 |
j-invariant |
L |
3.6677336183114 |
L(r)(E,1)/r! |
Ω |
0.4468696831935 |
Real period |
R |
4.1038067095698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108f1 13776y1 |
Quadratic twists by: -4 -7 |