Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15480n |
Isogeny class |
Conductor |
15480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5596171807649126400 = -1 · 211 · 326 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,235653,-104954186] |
[a1,a2,a3,a4,a6] |
j |
969360123836302/3748293231075 |
j-invariant |
L |
3.906815163769 |
L(r)(E,1)/r! |
Ω |
0.12208797386778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30960q3 123840cf3 5160d4 77400p3 |
Quadratic twists by: -4 8 -3 5 |