Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53724l |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-3426312353904 = -1 · 24 · 33 · 118 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3106,-58071] |
[a1,a2,a3,a4,a6] |
Generators |
[27370:287841:343] |
Generators of the group modulo torsion |
j |
965888/999 |
j-invariant |
L |
9.6062949360703 |
L(r)(E,1)/r! |
Ω |
0.42997706020569 |
Real period |
R |
7.4471375530205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53724k1 |
Quadratic twists by: -11 |