Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33516n |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1277572138416 = -1 · 24 · 36 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1764,46305] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-343:1] [-12:153:1] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
7.645383803562 |
L(r)(E,1)/r! |
Ω |
0.59598649183031 |
Real period |
R |
2.1380193198908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3724a1 4788f1 |
Quadratic twists by: -3 -7 |