Atkin-Lehner |
3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835j |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
129809356892578125 = 33 · 59 · 79 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34753689105,2493741878857928] |
[a1,a2,a3,a4,a6] |
Generators |
[107624:4512:1] |
Generators of the group modulo torsion |
j |
39458285178943756883592704425984/1103361328125 |
j-invariant |
L |
3.9455293396044 |
L(r)(E,1)/r! |
Ω |
0.07923332583522 |
Real period |
R |
2.7664631278809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405k3 |
Quadratic twists by: -7 |