Atkin-Lehner |
2+ 3+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
93936a |
Isogeny class |
Conductor |
93936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26471916288 = -1 · 28 · 33 · 192 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-508,-8816] |
[a1,a2,a3,a4,a6] |
Generators |
[8508:150380:27] |
Generators of the group modulo torsion |
j |
-56745250000/103405923 |
j-invariant |
L |
4.7260273525749 |
L(r)(E,1)/r! |
Ω |
0.47400263389225 |
Real period |
R |
4.9852332126415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46968c2 |
Quadratic twists by: -4 |