Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290w |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-597712348800 = -1 · 27 · 38 · 52 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1980,14800] |
[a1,a2,a3,a4,a6] |
Generators |
[5:155:1] |
Generators of the group modulo torsion |
j |
1177249106879/819907200 |
j-invariant |
L |
5.0837042095507 |
L(r)(E,1)/r! |
Ω |
0.57970877224006 |
Real period |
R |
0.7307842105232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430bd1 |
Quadratic twists by: -3 |