Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680q |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
64419886440000 = 26 · 34 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37266,2729520] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:2100:1] |
Generators of the group modulo torsion |
j |
89432162215385536/1006560725625 |
j-invariant |
L |
7.1859712332996 |
L(r)(E,1)/r! |
Ω |
0.6231133895176 |
Real period |
R |
0.96103044194214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680bc1 87360bu2 |
Quadratic twists by: -4 8 |