Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537a |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-257499 = -1 · 34 · 11 · 172 |
Discriminant |
Eigenvalues |
0 3+ -1 -4 11+ 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
-557056/891 |
j-invariant |
L |
2.072602943305 |
L(r)(E,1)/r! |
Ω |
1.2323536484009 |
Real period |
R |
0.84091240610781 |
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 |
28611o1 104907g1 9537l1 |
Quadratic twists by: -3 -11 17 |