Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60192j |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
801189328762944 = 26 · 38 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-393141,-94869340] |
[a1,a2,a3,a4,a6] |
j |
144032740431412672/17172267849 |
j-invariant |
L |
1.5253010351002 |
L(r)(E,1)/r! |
Ω |
0.19066262901003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60192q1 120384r2 20064q1 |
Quadratic twists by: -4 8 -3 |