Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150g |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-749469167507812500 = -1 · 22 · 32 · 59 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94650,-43173000] |
[a1,a2,a3,a4,a6] |
j |
-6001678266883489/47966026720500 |
j-invariant |
L |
0.95929940184833 |
L(r)(E,1)/r! |
Ω |
0.11991242523637 |
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 |
9030v2 |
Quadratic twists by: 5 |