Atkin-Lehner |
2- 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bx |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
217143620816338944 = 232 · 34 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16858024,26647076464] |
[a1,a2,a3,a4,a6] |
j |
129355170662787770927017/53013579300864 |
j-invariant |
L |
1.537907181292 |
L(r)(E,1)/r! |
Ω |
0.25631786674249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374d1 |
Quadratic twists by: -4 |