Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272o |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-30998528 = -1 · 216 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 0 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,289] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-16:1] |
Generators of the group modulo torsion |
j |
-62500/473 |
j-invariant |
L |
4.1881037674519 |
L(r)(E,1)/r! |
Ω |
1.7904324950556 |
Real period |
R |
0.58478939851372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272u1 3784a1 |
Quadratic twists by: -4 8 |