Atkin-Lehner |
2+ 3+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27984a |
Isogeny class |
Conductor |
27984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-799905401856 = -1 · 210 · 32 · 11 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1176,39744] |
[a1,a2,a3,a4,a6] |
j |
175499696732/781157619 |
j-invariant |
L |
1.2812542702313 |
L(r)(E,1)/r! |
Ω |
0.64062713511579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13992c4 111936i3 83952f3 |
Quadratic twists by: -4 8 -3 |