Atkin-Lehner |
3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9225j |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-432421875 = -1 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -3 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4617,121916] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-14:1] [44:28:1] |
Generators of the group modulo torsion |
j |
-1032125355/41 |
j-invariant |
L |
6.4200875400611 |
L(r)(E,1)/r! |
Ω |
1.5708260786085 |
Real period |
R |
0.68117954277803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9225m1 9225c1 |
Quadratic twists by: -3 5 |