Atkin-Lehner |
2- 3- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582ba |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8407191976951248 = 24 · 318 · 13 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 6 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3606548,-2635338841] |
[a1,a2,a3,a4,a6] |
j |
7116578116736811411961/11532499282512 |
j-invariant |
L |
7.011430760488 |
L(r)(E,1)/r! |
Ω |
0.10955360601162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194n2 |
Quadratic twists by: -3 |