Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850w |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
15790500 = 22 · 32 · 53 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-355,2425] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-35:1] |
Generators of the group modulo torsion |
j |
39756565997/126324 |
j-invariant |
L |
3.8501221972917 |
L(r)(E,1)/r! |
Ω |
2.2152332207318 |
Real period |
R |
0.43450528834258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47850dc1 |
Quadratic twists by: 5 |