Atkin-Lehner |
3- 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725t |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-10563717375 = -1 · 32 · 53 · 193 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,529,1613] |
[a1,a2,a3,a4,a6] |
Generators |
[2228:14859:64] |
Generators of the group modulo torsion |
j |
131328906787/84509739 |
j-invariant |
L |
9.4055524411766 |
L(r)(E,1)/r! |
Ω |
0.80018123088731 |
Real period |
R |
5.8771388769158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52725h1 |
Quadratic twists by: 5 |