Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470b |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4842432840000 = 26 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17210393,27473941797] |
[a1,a2,a3,a4,a6] |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
0.76416877402577 |
L(r)(E,1)/r! |
Ω |
0.38208438701288 |
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 |
11760cd7 47040dc8 4410bk7 7350ck7 |
Quadratic twists by: -4 8 -3 5 |