Atkin-Lehner |
2+ 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738d |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-1452621692928 = -1 · 224 · 3 · 72 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,438,57916] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2552:1] |
Generators of the group modulo torsion |
j |
9323320270823/1452621692928 |
j-invariant |
L |
3.5277618734967 |
L(r)(E,1)/r! |
Ω |
0.65587170313062 |
Real period |
R |
5.3787377266894 |
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 |
74214q1 |
Quadratic twists by: -3 |