Atkin-Lehner |
2- 3+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010bg |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
39123924480 = 29 · 33 · 5 · 19 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1448,19307] |
[a1,a2,a3,a4,a6] |
j |
12427518591747/1449034240 |
j-invariant |
L |
6.6747506060843 |
L(r)(E,1)/r! |
Ω |
1.1124584343915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53010f2 |
Quadratic twists by: -3 |