Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9225bb |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-1425248502676875 = -1 · 39 · 54 · 415 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 3 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,26925,-638294] |
[a1,a2,a3,a4,a6] |
Generators |
[136:2353:1] |
Generators of the group modulo torsion |
j |
4737871769600/3128117427 |
j-invariant |
L |
2.4158526921258 |
L(r)(E,1)/r! |
Ω |
0.27316530325183 |
Real period |
R |
4.4219611044427 |
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 |
3075g1 9225s2 |
Quadratic twists by: -3 5 |