Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150cc |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7131796875000 = 23 · 34 · 510 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23713,-1401583] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:119:1] |
Generators of the group modulo torsion |
j |
94376601570889/456435000 |
j-invariant |
L |
9.3815480786306 |
L(r)(E,1)/r! |
Ω |
0.38483914815062 |
Real period |
R |
1.0157434306985 |
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 |
72450bd2 4830d2 |
Quadratic twists by: -3 5 |