Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9225q |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
11675390625 = 36 · 58 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -6 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4730,126272] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:520:1] [-41:520:1] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
3.7233735964735 |
L(r)(E,1)/r! |
Ω |
1.2660472482222 |
Real period |
R |
1.4704718175809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1025c1 1845f1 |
Quadratic twists by: -3 5 |