Atkin-Lehner |
2+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336a |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-114704128 = -1 · 28 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47,-530] |
[a1,a2,a3,a4,a6] |
Generators |
[21:88:1] |
Generators of the group modulo torsion |
j |
-44851536/448063 |
j-invariant |
L |
2.2108907289952 |
L(r)(E,1)/r! |
Ω |
0.7934161459879 |
Real period |
R |
1.3932730888923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14168j2 113344da2 |
Quadratic twists by: -4 8 |