Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200ba |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2300400000000 = -1 · 210 · 34 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,85188] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:300:1] |
Generators of the group modulo torsion |
j |
-96550276/143775 |
j-invariant |
L |
8.9365067497856 |
L(r)(E,1)/r! |
Ω |
0.73636647855548 |
Real period |
R |
0.75849687385714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600r1 17040c1 |
Quadratic twists by: -4 5 |