Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3784c |
Isogeny class |
Conductor |
3784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
484352 = 210 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155,742] |
[a1,a2,a3,a4,a6] |
j |
402178500/473 |
j-invariant |
L |
1.4701023413545 |
L(r)(E,1)/r! |
Ω |
2.9402046827089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7568e1 30272j1 34056z1 94600k1 |
Quadratic twists by: -4 8 -3 5 |