Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85782r |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
142053973395709248 = 26 · 32 · 17 · 299 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141519713,-648009579639] |
[a1,a2,a3,a4,a6] |
Generators |
[59122639507417606539788560929324:5372808451506075263683641052980149:3261416686170571790518112847] |
Generators of the group modulo torsion |
j |
21606904315953125/9792 |
j-invariant |
L |
13.599970221101 |
L(r)(E,1)/r! |
Ω |
0.043771892089052 |
Real period |
R |
51.783498381605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85782c2 |
Quadratic twists by: 29 |