Atkin-Lehner |
5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145c |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
378876659525 = 52 · 74 · 135 · 17 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 1 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3038,57244] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:227:1] [-14:311:1] |
Generators of the group modulo torsion |
j |
1291501338624/157799525 |
j-invariant |
L |
7.5582947330418 |
L(r)(E,1)/r! |
Ω |
0.91931702400502 |
Real period |
R |
0.27405470712422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145t1 |
Quadratic twists by: -7 |