Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56316q |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-15059951058672 = -1 · 24 · 34 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87482,-9990207] |
[a1,a2,a3,a4,a6] |
Generators |
[424:5415:1] |
Generators of the group modulo torsion |
j |
-98365589248/20007 |
j-invariant |
L |
9.4746958156281 |
L(r)(E,1)/r! |
Ω |
0.13879830744221 |
Real period |
R |
1.4221318674152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2964b1 |
Quadratic twists by: -19 |