Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32364q |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-292232550384 = -1 · 24 · 36 · 292 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561,-26507] |
[a1,a2,a3,a4,a6] |
Generators |
[92:837:1] |
Generators of the group modulo torsion |
j |
-1674035968/25054231 |
j-invariant |
L |
6.6913222868358 |
L(r)(E,1)/r! |
Ω |
0.41692082347045 |
Real period |
R |
1.3374486453522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bu1 3596a1 |
Quadratic twists by: -4 -3 |