Atkin-Lehner |
2- 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85140i |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1241341200 = 24 · 38 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ -6 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14133,646693] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-5:1] [41:369:1] |
Generators of the group modulo torsion |
j |
26765741422336/106425 |
j-invariant |
L |
10.3265198977 |
L(r)(E,1)/r! |
Ω |
1.3479810909081 |
Real period |
R |
0.63839421087751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28380g1 |
Quadratic twists by: -3 |