Atkin-Lehner |
7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
86989c |
Isogeny class |
Conductor |
86989 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
1.0622202152722E+19 |
Discriminant |
Eigenvalues |
1 -1 -2 7+ -2 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-863971,-266731174] |
[a1,a2,a3,a4,a6] |
Generators |
[55610:13084324:1] |
Generators of the group modulo torsion |
j |
10224230272057/1522731007 |
j-invariant |
L |
3.4590171353754 |
L(r)(E,1)/r! |
Ω |
0.15815539139646 |
Real period |
R |
10.935501807675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86989g1 |
Quadratic twists by: 17 |