Atkin-Lehner |
3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9225k |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-28366875 = -1 · 33 · 54 · 412 |
Discriminant |
Eigenvalues |
-2 3+ 5- -1 -6 -5 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,75,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] [4:20:1] |
Generators of the group modulo torsion |
j |
2764800/1681 |
j-invariant |
L |
3.0595863841224 |
L(r)(E,1)/r! |
Ω |
1.2924861982156 |
Real period |
R |
0.19726750843626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9225n1 9225d1 |
Quadratic twists by: -3 5 |