Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976bn |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-229682029248 = -1 · 26 · 39 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-957,-25720] |
[a1,a2,a3,a4,a6] |
Generators |
[47:182:1] [61:378:1] |
Generators of the group modulo torsion |
j |
-2077552576/4922883 |
j-invariant |
L |
9.5760312398744 |
L(r)(E,1)/r! |
Ω |
0.40062589167006 |
Real period |
R |
2.9878346119197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122976bb1 40992e1 |
Quadratic twists by: -4 -3 |