Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408ca |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2529924096 = 210 · 3 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1437,-20355] |
[a1,a2,a3,a4,a6] |
Generators |
[-1372:755:64] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
4.1888232843027 |
L(r)(E,1)/r! |
Ω |
0.77573236693693 |
Real period |
R |
5.3998304864379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408bd1 2352i1 28224ga1 1344t1 |
Quadratic twists by: -4 8 -3 -7 |