Atkin-Lehner |
3+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945j |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
38643235785 = 34 · 5 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55027,-4991336] |
[a1,a2,a3,a4,a6] |
j |
18427378347829919161/38643235785 |
j-invariant |
L |
2.4937023215167 |
L(r)(E,1)/r! |
Ω |
0.31171279018959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835k1 109725ca1 |
Quadratic twists by: -3 5 |