Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416v |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2759680 |
Modular degree for the optimal curve |
Δ |
-1.1099121728651E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 3 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8976876,-10353519472] |
[a1,a2,a3,a4,a6] |
j |
-90424411632287643672/12545122758259 |
j-invariant |
L |
4.360985449801 |
L(r)(E,1)/r! |
Ω |
0.043609854494969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416k1 26208f1 52416x1 |
Quadratic twists by: -4 8 -3 |