Atkin-Lehner |
3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477d |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.9954058184147E+32 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1018990573,679516977211274] |
[a1,a2,a3,a4,a6] |
j |
994594310849829541761683423/1696066960547684435293323153 |
j-invariant |
L |
1.3995005379638 |
L(r)(E,1)/r! |
Ω |
0.013995005392452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211g4 |
Quadratic twists by: -7 |