Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600bn |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53654400000000 = 213 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97008,11656512] |
[a1,a2,a3,a4,a6] |
j |
1577505447721/838350 |
j-invariant |
L |
2.4881544860635 |
L(r)(E,1)/r! |
Ω |
0.622038621516 |
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 |
3450y2 110400id2 82800ep2 5520bg2 |
Quadratic twists by: -4 8 -3 5 |