Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9225ba |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-315235546875 = -1 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -3 2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,23791] |
[a1,a2,a3,a4,a6] |
Generators |
[18:209:1] |
Generators of the group modulo torsion |
j |
397535/1107 |
j-invariant |
L |
5.4165418941669 |
L(r)(E,1)/r! |
Ω |
0.6789987864352 |
Real period |
R |
3.9886241348119 |
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 |
3075f1 9225p1 |
Quadratic twists by: -3 5 |