Atkin-Lehner |
2- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9460a |
Isogeny class |
Conductor |
9460 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
605440 = 28 · 5 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11+ 5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
4194304/2365 |
j-invariant |
L |
3.6573821625266 |
L(r)(E,1)/r! |
Ω |
2.3924754216906 |
Real period |
R |
1.5287020837782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37840p1 85140s1 47300b1 104060c1 |
Quadratic twists by: -4 -3 5 -11 |