Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800hh |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7838208000 = 212 · 37 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4980,135200] |
[a1,a2,a3,a4,a6] |
Generators |
[34:72:1] |
Generators of the group modulo torsion |
j |
36594368/21 |
j-invariant |
L |
7.8432284629063 |
L(r)(E,1)/r! |
Ω |
1.299863770871 |
Real period |
R |
0.75423561990822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800io2 50400eg1 33600bw2 100800im2 |
Quadratic twists by: -4 8 -3 5 |