Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dp |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
203880017166336 = 226 · 32 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85057,9494975] |
[a1,a2,a3,a4,a6] |
Generators |
[1478210:55821069:1000] |
Generators of the group modulo torsion |
j |
259608602138257/777740544 |
j-invariant |
L |
10.335906476549 |
L(r)(E,1)/r! |
Ω |
0.56587761069794 |
Real period |
R |
9.1326342417613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111552d2 27888x2 |
Quadratic twists by: -4 8 |