Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200c |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
116705175781250000 = 24 · 514 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -4 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166783,-20368938] |
[a1,a2,a3,a4,a6] |
Generators |
[-1204414084386:-5047884897650:8527173507] |
Generators of the group modulo torsion |
j |
2052303811262464/466820703125 |
j-invariant |
L |
8.867320865895 |
L(r)(E,1)/r! |
Ω |
0.24010063432215 |
Real period |
R |
18.465842233484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600t1 16240e1 |
Quadratic twists by: -4 5 |