Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152s |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
45454671872064 = 26 · 36 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8934,17856] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:588:1] |
Generators of the group modulo torsion |
j |
10474708672/6036849 |
j-invariant |
L |
5.1328081403383 |
L(r)(E,1)/r! |
Ω |
0.54411613371964 |
Real period |
R |
1.5722158752108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61152e1 122304gd2 8736d1 |
Quadratic twists by: -4 8 -7 |