Atkin-Lehner |
2- 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47124w |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-8542605544704 = -1 · 28 · 36 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2271,146662] |
[a1,a2,a3,a4,a6] |
j |
-6940769488/45774421 |
j-invariant |
L |
3.794868316294 |
L(r)(E,1)/r! |
Ω |
0.63247805274772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5236c2 |
Quadratic twists by: -3 |