Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
88880a |
Isogeny class |
Conductor |
88880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-430179200000 = -1 · 210 · 55 · 113 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 11+ -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103856,12847844] |
[a1,a2,a3,a4,a6] |
Generators |
[182:88:1] |
Generators of the group modulo torsion |
j |
-120982544000932036/420096875 |
j-invariant |
L |
7.8290155747761 |
L(r)(E,1)/r! |
Ω |
0.82445182542981 |
Real period |
R |
2.3740063785851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44440b1 |
Quadratic twists by: -4 |