Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cb |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17414930534400 = 212 · 38 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6480,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:440:1] |
Generators of the group modulo torsion |
j |
7347774183121/4251692025 |
j-invariant |
L |
5.5815743905002 |
L(r)(E,1)/r! |
Ω |
0.58365958767705 |
Real period |
R |
2.3907661710462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2415h2 115920dh2 |
Quadratic twists by: -4 -3 |