Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152cd |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
108534624674112 = 26 · 38 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-142214,-20683860] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:78:1] |
Generators of the group modulo torsion |
j |
42246001231552/14414517 |
j-invariant |
L |
6.6533854698957 |
L(r)(E,1)/r! |
Ω |
0.24585135438632 |
Real period |
R |
1.1276097919562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152l1 122304u2 1248f1 |
Quadratic twists by: -4 8 -7 |