Atkin-Lehner |
2+ 5- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550y |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-4073300000000 = -1 · 28 · 58 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11+ -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2200,104000] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:376:1] |
Generators of the group modulo torsion |
j |
-3016755625/10427648 |
j-invariant |
L |
3.8800792953374 |
L(r)(E,1)/r! |
Ω |
0.68434318492262 |
Real period |
R |
1.4174464610231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88550bi1 |
Quadratic twists by: 5 |