Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744s |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
521228288 = 212 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217,633] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:273:8] |
Generators of the group modulo torsion |
j |
277167808/127253 |
j-invariant |
L |
8.9089911509161 |
L(r)(E,1)/r! |
Ω |
1.4766456702022 |
Real period |
R |
3.0166313187699 |
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 |
23744i2 11872b1 |
Quadratic twists by: -4 8 |