Atkin-Lehner |
2+ 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738d |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30706138681344 = 212 · 32 · 74 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20042,1057340] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:1489:1] |
Generators of the group modulo torsion |
j |
890257693817413657/30706138681344 |
j-invariant |
L |
3.5277618734967 |
L(r)(E,1)/r! |
Ω |
0.65587170313062 |
Real period |
R |
2.6893688633447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74214q2 |
Quadratic twists by: -3 |