Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bv |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
3.9542025343795E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3176988,1957046781] |
[a1,a2,a3,a4,a6] |
Generators |
[36255:270659:27] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
8.1288859952162 |
L(r)(E,1)/r! |
Ω |
0.16336806748741 |
Real period |
R |
1.2439527075601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166d1 2850j1 |
Quadratic twists by: 5 -19 |