Atkin-Lehner |
2+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962d |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
123420349381525504 = 214 · 75 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11- -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-308190,63621072] |
[a1,a2,a3,a4,a6] |
Generators |
[549:7469:1] [-3594:86251:8] |
Generators of the group modulo torsion |
j |
1827347754908593/69667569664 |
j-invariant |
L |
6.3387850272154 |
L(r)(E,1)/r! |
Ω |
0.3279515174609 |
Real period |
R |
2.4160526364888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542n1 |
Quadratic twists by: -11 |