Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692q |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
5646168863613676944 = 24 · 39 · 75 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2539029,1553016481] |
[a1,a2,a3,a4,a6] |
j |
155195521637763995392/484067975275521 |
j-invariant |
L |
0.48265220744646 |
L(r)(E,1)/r! |
Ω |
0.24132610379212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564j1 |
Quadratic twists by: -3 |