Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304m |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
452554968387024 = 24 · 32 · 617 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71939,7331886] |
[a1,a2,a3,a4,a6] |
Generators |
[25977:777689:27] |
Generators of the group modulo torsion |
j |
49948672/549 |
j-invariant |
L |
7.5812685076299 |
L(r)(E,1)/r! |
Ω |
0.52973506647665 |
Real period |
R |
3.5778585327043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1464c1 |
Quadratic twists by: 61 |