Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30272j |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
30998528 = 216 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620,5936] |
[a1,a2,a3,a4,a6] |
j |
402178500/473 |
j-invariant |
L |
2.0790386692211 |
L(r)(E,1)/r! |
Ω |
2.0790386692199 |
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 |
30272z1 3784c1 |
Quadratic twists by: -4 8 |