Atkin-Lehner |
3- 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995o |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
409344 |
Modular degree for the optimal curve |
Δ |
-7208781466384125 = -1 · 319 · 53 · 292 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 1 6 -5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37971,2919078] |
[a1,a2,a3,a4,a6] |
j |
8305118904758831/9888589117125 |
j-invariant |
L |
3.3594229945112 |
L(r)(E,1)/r! |
Ω |
0.27995191532192 |
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 |
25665j1 |
Quadratic twists by: -3 |