Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cs |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-9.5214625060192E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16847867,30476289297] |
[a1,a2,a3,a4,a6] |
Generators |
[3238:97753:1] |
Generators of the group modulo torsion |
j |
-19007021070457/3421836288 |
j-invariant |
L |
13.197259579629 |
L(r)(E,1)/r! |
Ω |
0.10268799470139 |
Real period |
R |
1.0709836479226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686ce1 3822j1 |
Quadratic twists by: -7 13 |