Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675a |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-18140625 = -1 · 33 · 56 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 3 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,241] |
[a1,a2,a3,a4,a6] |
j |
-19683/43 |
j-invariant |
L |
3.8738101030597 |
L(r)(E,1)/r! |
Ω |
1.9369050515299 |
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 |
9675d1 387c1 |
Quadratic twists by: -3 5 |