Atkin-Lehner |
5+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49025b |
Isogeny class |
Conductor |
49025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
19150390625 = 510 · 37 · 53 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-813,-6008] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:29:1] |
Generators of the group modulo torsion |
j |
3803721481/1225625 |
j-invariant |
L |
2.962474716558 |
L(r)(E,1)/r! |
Ω |
0.91692634648864 |
Real period |
R |
3.2308753346605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9805c1 |
Quadratic twists by: 5 |