Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944q |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13751540232192 = 212 · 39 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9180,287712] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:756:1] |
Generators of the group modulo torsion |
j |
1061208000/170569 |
j-invariant |
L |
8.0028121972181 |
L(r)(E,1)/r! |
Ω |
0.67497150340104 |
Real period |
R |
1.4820648323997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999659083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944b2 118944f2 |
Quadratic twists by: -4 -3 |