Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272bb |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1983905792 = 222 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716,7056] |
[a1,a2,a3,a4,a6] |
Generators |
[0:84:1] |
Generators of the group modulo torsion |
j |
154854153/7568 |
j-invariant |
L |
3.7376245574715 |
L(r)(E,1)/r! |
Ω |
1.4569619009719 |
Real period |
R |
2.5653550411841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30272l1 7568l1 |
Quadratic twists by: -4 8 |