Atkin-Lehner |
3+ 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16653c |
Isogeny class |
Conductor |
16653 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
2895973353 = 32 · 74 · 133 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2743,54092] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:315:1] [-20:328:1] |
Generators of the group modulo torsion |
j |
2282501283504625/2895973353 |
j-invariant |
L |
3.9253609766805 |
L(r)(E,1)/r! |
Ω |
1.4255545736918 |
Real period |
R |
0.9178558878351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49959f1 116571p1 |
Quadratic twists by: -3 -7 |