Atkin-Lehner |
2- 3+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
98832k |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-91297584751632384 = -1 · 213 · 3 · 29 · 716 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -6 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86896,10654272] |
[a1,a2,a3,a4,a6] |
Generators |
[144:5112:1] [73984:20123672:1] |
Generators of the group modulo torsion |
j |
17715692060062703/22289449402254 |
j-invariant |
L |
11.329125615596 |
L(r)(E,1)/r! |
Ω |
0.22749661766045 |
Real period |
R |
2.074962280946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12354h2 |
Quadratic twists by: -4 |