Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330bd |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
24883705868490000 = 24 · 34 · 54 · 78 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-98200,9085232] |
[a1,a2,a3,a4,a6] |
j |
104726949105545020801/24883705868490000 |
j-invariant |
L |
5.6816697798826 |
L(r)(E,1)/r! |
Ω |
0.35510436124266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
122640bk2 45990v2 76650d2 107310ce2 |
Quadratic twists by: -4 -3 5 -7 |