Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9135i |
Isogeny class |
Conductor |
9135 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-9711646875 = -1 · 37 · 55 · 72 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -5 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1497,22792] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:157:1] [-20:211:1] |
Generators of the group modulo torsion |
j |
-508934139904/13321875 |
j-invariant |
L |
3.2289963214005 |
L(r)(E,1)/r! |
Ω |
1.2891723012595 |
Real period |
R |
0.062617625243815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3045a1 45675bb1 63945u1 |
Quadratic twists by: -3 5 -7 |