Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45552j |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-369517824 = -1 · 28 · 32 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -4 13+ -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-924,-10548] |
[a1,a2,a3,a4,a6] |
Generators |
[5796:51213:64] |
Generators of the group modulo torsion |
j |
-341169022672/1443429 |
j-invariant |
L |
5.9758880819826 |
L(r)(E,1)/r! |
Ω |
0.43281514958925 |
Real period |
R |
6.9035107570169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11388d1 |
Quadratic twists by: -4 |