Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454ba |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
178579698074624 = 210 · 74 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-249444,-48051739] |
[a1,a2,a3,a4,a6] |
Generators |
[1887:77827:1] |
Generators of the group modulo torsion |
j |
968917714969177/100803584 |
j-invariant |
L |
13.689203716595 |
L(r)(E,1)/r! |
Ω |
0.21362840169273 |
Real period |
R |
3.2039755965959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574b1 |
Quadratic twists by: -11 |