Atkin-Lehner |
2+ 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880s |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-659988864000 = -1 · 210 · 33 · 53 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-39100] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-690:1] |
Generators of the group modulo torsion |
j |
-7086244/644520375 |
j-invariant |
L |
8.5614741235758 |
L(r)(E,1)/r! |
Ω |
0.41539906579572 |
Real period |
R |
0.57250664409439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52440r1 |
Quadratic twists by: -4 |