Atkin-Lehner |
2+ 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
53874c |
Isogeny class |
Conductor |
53874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-2171703177216 = -1 · 212 · 311 · 41 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 0 5 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7461,259861] |
[a1,a2,a3,a4,a6] |
Generators |
[26:275:1] |
Generators of the group modulo torsion |
j |
-63011533010257/2979016704 |
j-invariant |
L |
3.260829913159 |
L(r)(E,1)/r! |
Ω |
0.81478830527688 |
Real period |
R |
1.0005144563406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17958k1 |
Quadratic twists by: -3 |