Atkin-Lehner |
2- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47300c |
Isogeny class |
Conductor |
47300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5505408 |
Modular degree for the optimal curve |
Δ |
6832632812500000000 = 28 · 515 · 11 · 433 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-277068133,1775213433137] |
[a1,a2,a3,a4,a6] |
j |
588062461101756601532416/1708158203125 |
j-invariant |
L |
0.31290152484305 |
L(r)(E,1)/r! |
Ω |
0.15645076252061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9460d1 |
Quadratic twists by: 5 |