Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dz |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-56449165072269312 = -1 · 228 · 36 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174060,30198096] |
[a1,a2,a3,a4,a6] |
j |
-3051779837625/295386112 |
j-invariant |
L |
4.1336828099853 |
L(r)(E,1)/r! |
Ω |
0.34447364388631 |
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 |
116928x1 29232bu1 12992bi1 |
Quadratic twists by: -4 8 -3 |