Atkin-Lehner |
3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175c |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7467360234375 = 3 · 57 · 17 · 374 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34713,-2500344] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:77:1] [-55608:57175:512] |
Generators of the group modulo torsion |
j |
296060803157449/477911055 |
j-invariant |
L |
5.4674026760996 |
L(r)(E,1)/r! |
Ω |
0.34979899600539 |
Real period |
R |
15.630126840085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435g3 |
Quadratic twists by: 5 |