Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9280d |
Isogeny class |
Conductor |
9280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1345600 = -1 · 26 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 2 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,-26] |
[a1,a2,a3,a4,a6] |
j |
22906304/21025 |
j-invariant |
L |
1.4844048132995 |
L(r)(E,1)/r! |
Ω |
1.4844048132995 |
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 |
9280c1 4640d2 83520cj1 46400t1 |
Quadratic twists by: -4 8 -3 5 |