Atkin-Lehner |
2- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99856d |
Isogeny class |
Conductor |
99856 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
517608 |
Modular degree for the optimal curve |
Δ |
24273740958504976 = 24 · 798 |
Discriminant |
Eigenvalues |
2- 1 -1 3 -1 -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164346,24469343] |
[a1,a2,a3,a4,a6] |
j |
20224 |
j-invariant |
L |
1.1216053220107 |
L(r)(E,1)/r! |
Ω |
0.37386850327583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24964a1 99856j1 |
Quadratic twists by: -4 -79 |