Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038ba |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-497153346092980416 = -1 · 26 · 38 · 78 · 593 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125474,38024417] |
[a1,a2,a3,a4,a6] |
Generators |
[-453:1549:1] [-435:3403:1] |
Generators of the group modulo torsion |
j |
-51984018457/118298304 |
j-invariant |
L |
11.902783399019 |
L(r)(E,1)/r! |
Ω |
0.26106303933335 |
Real period |
R |
1.8997300788311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17346j2 52038bh2 |
Quadratic twists by: -3 -7 |