Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624i |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-1412103686586992 = -1 · 24 · 72 · 239 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 0 1 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44612,-4067383] |
[a1,a2,a3,a4,a6] |
Generators |
[716768:8845409:2197] |
Generators of the group modulo torsion |
j |
-340736/49 |
j-invariant |
L |
8.0728581405368 |
L(r)(E,1)/r! |
Ω |
0.16295190406628 |
Real period |
R |
6.1926693851742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59248d1 29624c1 |
Quadratic twists by: -4 -23 |