Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10285c |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-8282047675 = -1 · 52 · 117 · 17 |
Discriminant |
Eigenvalues |
0 -2 5+ -3 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-161,4395] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:67:1] [7:60:1] |
Generators of the group modulo torsion |
j |
-262144/4675 |
j-invariant |
L |
3.4289646463226 |
L(r)(E,1)/r! |
Ω |
1.1036565407562 |
Real period |
R |
0.38836410147746 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565bv1 51425n1 935a1 |
Quadratic twists by: -3 5 -11 |