Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056c |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
17752892348672 = 28 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6647,49130] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2312:1] |
Generators of the group modulo torsion |
j |
5256144/2873 |
j-invariant |
L |
2.7728844501189 |
L(r)(E,1)/r! |
Ω |
0.60150319769154 |
Real period |
R |
1.1524811758111 |
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 |
60112d1 1768a1 |
Quadratic twists by: -4 17 |