Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160bn |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-768890880000000 = -1 · 217 · 36 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11547,-1417014] |
[a1,a2,a3,a4,a6] |
Generators |
[157:800:1] [207:2250:1] |
Generators of the group modulo torsion |
j |
-57022169049/257500000 |
j-invariant |
L |
11.493012104601 |
L(r)(E,1)/r! |
Ω |
0.20892753081358 |
Real period |
R |
0.98231361951665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270y1 8240g1 |
Quadratic twists by: -4 -3 |