Atkin-Lehner |
3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175o |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
1.0300014558515E+20 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5894326,-5486873077] |
[a1,a2,a3,a4,a6] |
Generators |
[-5449712:-644713:4096] |
Generators of the group modulo torsion |
j |
11595674686810767461/52736074539597 |
j-invariant |
L |
9.5805776177666 |
L(r)(E,1)/r! |
Ω |
0.096919212364654 |
Real period |
R |
9.885117082586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47175g1 |
Quadratic twists by: 5 |