Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808bh |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9000870341557248 = -1 · 210 · 36 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48069,-2092986] |
[a1,a2,a3,a4,a6] |
j |
139863132/102487 |
j-invariant |
L |
1.8455383924136 |
L(r)(E,1)/r! |
Ω |
0.23069229905646 |
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 |
77616bt3 4312h4 5544j4 |
Quadratic twists by: -4 -3 -7 |