Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408d |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-543808290816 = -1 · 223 · 33 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1503,-27999] |
[a1,a2,a3,a4,a6] |
Generators |
[89:896:1] |
Generators of the group modulo torsion |
j |
596183/864 |
j-invariant |
L |
2.812812644391 |
L(r)(E,1)/r! |
Ω |
0.49005531439521 |
Real period |
R |
0.47831550197253 |
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 |
9408co1 294d1 28224be1 9408bk1 |
Quadratic twists by: -4 8 -3 -7 |