Atkin-Lehner |
2+ 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24738d |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4471586604432192 = 26 · 3 · 78 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49802,-2823364] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:1272:1] |
Generators of the group modulo torsion |
j |
13660026074142753817/4471586604432192 |
j-invariant |
L |
3.5277618734967 |
L(r)(E,1)/r! |
Ω |
0.32793585156531 |
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 |
74214q3 |
Quadratic twists by: -3 |