Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280bz |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3652190208000 = -1 · 223 · 34 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -4 5 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2881,-108575] |
[a1,a2,a3,a4,a6] |
Generators |
[69:128:1] [91:612:1] |
Generators of the group modulo torsion |
j |
-10091699281/13932000 |
j-invariant |
L |
7.6359829576152 |
L(r)(E,1)/r! |
Ω |
0.31014681687232 |
Real period |
R |
3.0775678413458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280be1 10320bh1 123840fx1 |
Quadratic twists by: -4 8 -3 |