Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640cz |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
138485760 = 213 · 3 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2885120,-1887188940] |
[a1,a2,a3,a4,a6] |
Generators |
[54201:549892:27] |
Generators of the group modulo torsion |
j |
648418741232906810881/33810 |
j-invariant |
L |
8.5506399043027 |
L(r)(E,1)/r! |
Ω |
0.11584000611923 |
Real period |
R |
9.2267777242509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830w4 115920ds4 |
Quadratic twists by: -4 -3 |