Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38896b |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
732243026944 = 210 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 11+ 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4291,100050] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:336:1] |
Generators of the group modulo torsion |
j |
8532951930468/715081081 |
j-invariant |
L |
5.5790427052368 |
L(r)(E,1)/r! |
Ω |
0.87974350645844 |
Real period |
R |
3.170834830993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19448d2 |
Quadratic twists by: -4 |