Atkin-Lehner |
2+ 3- 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738f |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
271700274132 = 22 · 312 · 7 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2367,36334] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:165:1] [-43:264:1] |
Generators of the group modulo torsion |
j |
1465732468538857/271700274132 |
j-invariant |
L |
5.9596233531744 |
L(r)(E,1)/r! |
Ω |
0.93071687513612 |
Real period |
R |
0.53360510881322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214u2 |
Quadratic twists by: -3 |