Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150ct |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
561867764062500 = 22 · 34 · 58 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37713,-2581083] |
[a1,a2,a3,a4,a6] |
Generators |
[2526:31737:8] |
Generators of the group modulo torsion |
j |
379644969113929/35959536900 |
j-invariant |
L |
11.587653855496 |
L(r)(E,1)/r! |
Ω |
0.34467343721445 |
Real period |
R |
4.2024031316164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030d2 |
Quadratic twists by: 5 |