Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bs |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6882972480947257344 = -1 · 215 · 36 · 13 · 536 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67389,-126045502] |
[a1,a2,a3,a4,a6] |
Generators |
[613987:2382032:1331] |
Generators of the group modulo torsion |
j |
11334523606847/2305093557416 |
j-invariant |
L |
9.7967942971509 |
L(r)(E,1)/r! |
Ω |
0.11141716739222 |
Real period |
R |
3.6637061600201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12402f2 11024i2 |
Quadratic twists by: -4 -3 |