Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35496d |
Isogeny class |
Conductor |
35496 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-20819678448384 = -1 · 28 · 39 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12468,579076] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:54:1] [-90:986:1] |
Generators of the group modulo torsion |
j |
-1148541254656/111559491 |
j-invariant |
L |
7.4923566945141 |
L(r)(E,1)/r! |
Ω |
0.66561110138381 |
Real period |
R |
0.11725372679671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70992g1 11832e1 |
Quadratic twists by: -4 -3 |