Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038d |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1437923278764 = -1 · 22 · 36 · 74 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8388,303372] |
[a1,a2,a3,a4,a6] |
Generators |
[52:50:1] |
Generators of the group modulo torsion |
j |
-37291376353/821516 |
j-invariant |
L |
5.8327373034399 |
L(r)(E,1)/r! |
Ω |
0.85155336263593 |
Real period |
R |
3.4247632381966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5782e2 52038q2 |
Quadratic twists by: -3 -7 |