Atkin-Lehner |
3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9225bc |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-20679451875 = -1 · 39 · 54 · 412 |
Discriminant |
Eigenvalues |
0 3- 5- -1 0 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31350,-2136519] |
[a1,a2,a3,a4,a6] |
j |
-7478746316800/45387 |
j-invariant |
L |
0.71757947147849 |
L(r)(E,1)/r! |
Ω |
0.17939486786962 |
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 |
3075m1 9225u1 |
Quadratic twists by: -3 5 |