Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390bm |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-5120105686938144000 = -1 · 28 · 37 · 53 · 711 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85751,-109331251] |
[a1,a2,a3,a4,a6] |
Generators |
[1091:32578:1] |
Generators of the group modulo torsion |
j |
-592725168252001/43520180256000 |
j-invariant |
L |
6.8636920226196 |
L(r)(E,1)/r! |
Ω |
0.10685351228934 |
Real period |
R |
4.014662150274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770bd1 |
Quadratic twists by: -7 |