Atkin-Lehner |
2+ 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738d |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4457193096384 = 26 · 34 · 72 · 19 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-317962,68983100] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:11729:1] |
Generators of the group modulo torsion |
j |
3555063880047404055577/4457193096384 |
j-invariant |
L |
3.5277618734967 |
L(r)(E,1)/r! |
Ω |
0.65587170313062 |
Real period |
R |
1.3446844316724 |
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 |
74214q4 |
Quadratic twists by: -3 |