Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144r |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-7294741905408 = -1 · 223 · 3 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 2 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,352,-129804] |
[a1,a2,a3,a4,a6] |
Generators |
[276:4590:1] |
Generators of the group modulo torsion |
j |
1174241375/1780942848 |
j-invariant |
L |
6.5420344033915 |
L(r)(E,1)/r! |
Ω |
0.34604518501969 |
Real period |
R |
3.1508575019404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018i1 |
Quadratic twists by: -4 |