Atkin-Lehner |
3+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175a |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-2837487796875 = -1 · 33 · 56 · 173 · 372 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 3 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1267,78743] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:129:1] |
Generators of the group modulo torsion |
j |
14384365568/181599219 |
j-invariant |
L |
2.8649509016584 |
L(r)(E,1)/r! |
Ω |
0.59515537107408 |
Real period |
R |
2.4068932592068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1887c1 |
Quadratic twists by: 5 |