Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23088j |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6396668928 = -1 · 210 · 33 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,416,2180] |
[a1,a2,a3,a4,a6] |
Generators |
[8:78:1] |
Generators of the group modulo torsion |
j |
7756384892/6246747 |
j-invariant |
L |
6.2338576321173 |
L(r)(E,1)/r! |
Ω |
0.86256267463394 |
Real period |
R |
0.60226132116166 |
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 |
11544c2 92352bp2 69264o2 |
Quadratic twists by: -4 8 -3 |