Atkin-Lehner |
2- 3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644a |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36892800 |
Modular degree for the optimal curve |
Δ |
-5.8684586079698E+28 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2902966857,61320866031558] |
[a1,a2,a3,a4,a6] |
j |
-169094687036388667545190387007488/3667786629981112584545097267 |
j-invariant |
L |
1.7579787384538 |
L(r)(E,1)/r! |
Ω |
0.035159574769047 |
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 |
114576ci1 85932z1 |
Quadratic twists by: -4 -3 |