Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040cj |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1169049098649600 = 222 · 34 · 52 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81816,8828820] |
[a1,a2,a3,a4,a6] |
j |
14787126942253849/285412377600 |
j-invariant |
L |
3.9009457156829 |
L(r)(E,1)/r! |
Ω |
0.48761821853972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130b2 |
Quadratic twists by: -4 |