Atkin-Lehner |
31+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85529a |
Isogeny class |
Conductor |
85529 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
379440 |
Modular degree for the optimal curve |
Δ |
6755749907570161 = 318 · 892 |
Discriminant |
Eigenvalues |
1 -1 3 3 3 1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63926,4775887] |
[a1,a2,a3,a4,a6] |
Generators |
[283290:200471:3375] |
Generators of the group modulo torsion |
j |
33874537/7921 |
j-invariant |
L |
9.3231934349533 |
L(r)(E,1)/r! |
Ω |
0.39617982752853 |
Real period |
R |
3.9221218864575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85529c1 |
Quadratic twists by: -31 |