Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272s |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
858059113472 = 210 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -4 -3 11- 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6105,180161] |
[a1,a2,a3,a4,a6] |
Generators |
[8:363:1] |
Generators of the group modulo torsion |
j |
24578303113984/837948353 |
j-invariant |
L |
4.9832815248974 |
L(r)(E,1)/r! |
Ω |
0.88382927691854 |
Real period |
R |
0.80546931323844 |
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 |
30272y1 1892a1 |
Quadratic twists by: -4 8 |