Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925v |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-4610925 = -1 · 36 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50,182] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
-744385/253 |
j-invariant |
L |
4.6855649305612 |
L(r)(E,1)/r! |
Ω |
2.3065644398591 |
Real period |
R |
1.0157021520035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6325b1 56925bm1 |
Quadratic twists by: -3 5 |