Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bf |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
1.736769951283E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-657140,-43088100] |
[a1,a2,a3,a4,a6] |
Generators |
[1870:-72600:1] [-605:11550:1] |
Generators of the group modulo torsion |
j |
122590867412538423376/67842576221990625 |
j-invariant |
L |
12.78320247489 |
L(r)(E,1)/r! |
Ω |
0.17959740393954 |
Real period |
R |
0.94902652225692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920y1 |
Quadratic twists by: -4 |