Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bp |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-74721263616 = -1 · 218 · 36 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,789,10010] |
[a1,a2,a3,a4,a6] |
Generators |
[7:126:1] [38:308:1] |
Generators of the group modulo torsion |
j |
18191447/25024 |
j-invariant |
L |
8.7301947543725 |
L(r)(E,1)/r! |
Ω |
0.73611795839001 |
Real period |
R |
5.9298884471379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7038q1 6256f1 |
Quadratic twists by: -4 -3 |