Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808cd |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7715031721334784 = -1 · 211 · 37 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38661,3049270] |
[a1,a2,a3,a4,a6] |
j |
36382894/43923 |
j-invariant |
L |
2.2293038267184 |
L(r)(E,1)/r! |
Ω |
0.27866297834101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616ch3 12936j4 792d4 |
Quadratic twists by: -4 -3 -7 |