Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9537f |
Isogeny class |
Conductor |
9537 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-280416411 = -1 · 36 · 113 · 172 |
Discriminant |
Eigenvalues |
0 3+ -3 -2 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1847,31187] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:40:1] [5:148:1] |
Generators of the group modulo torsion |
j |
-2412468600832/970299 |
j-invariant |
L |
3.6907789583724 |
L(r)(E,1)/r! |
Ω |
1.7067728070294 |
Real period |
R |
0.36040521846968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28611g1 104907i1 9537k1 |
Quadratic twists by: -3 -11 17 |