Atkin-Lehner |
2- 3+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
28908b |
Isogeny class |
Conductor |
28908 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-44508144384 = -1 · 28 · 39 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11+ -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1296,20628] |
[a1,a2,a3,a4,a6] |
j |
-47775744/8833 |
j-invariant |
L |
4.3730495281108 |
L(r)(E,1)/r! |
Ω |
1.0932623820274 |
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 |
115632s1 28908d1 |
Quadratic twists by: -4 -3 |