Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984ct |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
7.5565987202667E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18299451,27072514154] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/537919488 |
j-invariant |
L |
0.42181453658063 |
L(r)(E,1)/r! |
Ω |
0.10545363411347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6498w1 17328v1 2736v1 |
Quadratic twists by: -4 -3 -19 |