Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432ct |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-29873343725568 = -1 · 215 · 33 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21968,1273236] |
[a1,a2,a3,a4,a6] |
Generators |
[100:294:1] |
Generators of the group modulo torsion |
j |
-2433138625/61992 |
j-invariant |
L |
9.1017893950303 |
L(r)(E,1)/r! |
Ω |
0.66034814495273 |
Real period |
R |
0.57430497434093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054be1 13776d1 |
Quadratic twists by: -4 -7 |