Atkin-Lehner |
3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175n |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-298529296875 = -1 · 35 · 59 · 17 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -3 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1908,40844] |
[a1,a2,a3,a4,a6] |
Generators |
[3:187:1] |
Generators of the group modulo torsion |
j |
-49188818944/19105875 |
j-invariant |
L |
3.7143063904724 |
L(r)(E,1)/r! |
Ω |
0.91243255248456 |
Real period |
R |
0.20353868241446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9435b1 |
Quadratic twists by: 5 |