Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9075p |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-2014387343834765625 = -1 · 37 · 58 · 119 |
Discriminant |
Eigenvalues |
1 3- 5- -1 11+ 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-440201,-131566327] |
[a1,a2,a3,a4,a6] |
Generators |
[9327:893761:1] |
Generators of the group modulo torsion |
j |
-10241915/2187 |
j-invariant |
L |
5.9878222130156 |
L(r)(E,1)/r! |
Ω |
0.091626521595186 |
Real period |
R |
1.5559599236765 |
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 |
27225bw1 9075c1 9075r1 |
Quadratic twists by: -3 5 -11 |