Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038m |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
3046807828205568 = 212 · 37 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89091,9907029] |
[a1,a2,a3,a4,a6] |
Generators |
[1710:5319:8] |
Generators of the group modulo torsion |
j |
911826451873/35524608 |
j-invariant |
L |
4.6592830671014 |
L(r)(E,1)/r! |
Ω |
0.44629499166863 |
Real period |
R |
2.6099794721065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346bf1 7434b1 |
Quadratic twists by: -3 -7 |