Atkin-Lehner |
3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725h |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10199399982421875 = 3 · 59 · 196 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56138,1589156] |
[a1,a2,a3,a4,a6] |
Generators |
[4102:81061:8] |
Generators of the group modulo torsion |
j |
10017629495693/5222092791 |
j-invariant |
L |
2.7854033136105 |
L(r)(E,1)/r! |
Ω |
0.3578519253167 |
Real period |
R |
7.7836756396474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52725t2 |
Quadratic twists by: 5 |