Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bb |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
1177895043072 = 218 · 35 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2689,-13345] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:123:1] [-37:192:1] |
Generators of the group modulo torsion |
j |
8205738913/4493313 |
j-invariant |
L |
11.45405726169 |
L(r)(E,1)/r! |
Ω |
0.70829691299354 |
Real period |
R |
1.6171265258231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592ci1 1353b1 |
Quadratic twists by: -4 8 |