Atkin-Lehner |
3+ 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175f |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-462714976923046875 = -1 · 37 · 58 · 172 · 374 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 6 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-74583,33678443] |
[a1,a2,a3,a4,a6] |
Generators |
[173:5091:1] |
Generators of the group modulo torsion |
j |
-117459742720000/1184550340923 |
j-invariant |
L |
4.8513013656165 |
L(r)(E,1)/r! |
Ω |
0.25250959091884 |
Real period |
R |
4.8030862391632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47175j1 |
Quadratic twists by: 5 |