Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272p |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-157505216 = -1 · 26 · 113 · 432 |
Discriminant |
Eigenvalues |
2+ -1 1 0 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4025,99643] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-11:1] |
Generators of the group modulo torsion |
j |
-112706583998464/2461019 |
j-invariant |
L |
5.2156378774574 |
L(r)(E,1)/r! |
Ω |
1.6827159589961 |
Real period |
R |
0.51658925258832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30272v1 473a1 |
Quadratic twists by: -4 8 |