Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632y |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5218476205452683264 = -1 · 211 · 714 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639499,-225443610] |
[a1,a2,a3,a4,a6] |
Generators |
[480589079726150655964641268326:30623472887675303126599585562490:113766525587884197942171413] |
Generators of the group modulo torsion |
j |
-120039762869154/21658357357 |
j-invariant |
L |
8.100525391699 |
L(r)(E,1)/r! |
Ω |
0.08359267870153 |
Real period |
R |
48.452361601016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376n2 |
Quadratic twists by: -7 |