Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gk |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-20376163713024 = -1 · 225 · 36 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1197,216594] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-512:1] |
Generators of the group modulo torsion |
j |
1296351/139264 |
j-invariant |
L |
4.0696920559541 |
L(r)(E,1)/r! |
Ω |
0.52416252759174 |
Real period |
R |
0.97052246089672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994be1 13328n1 119952dk1 |
Quadratic twists by: -4 -3 -7 |