Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005w |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
10174464 |
Modular degree for the optimal curve |
Δ |
4.3281467721079E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26177933,-40693600069] |
[a1,a2,a3,a4,a6] |
j |
16863258742876221891769/3678864055034765625 |
j-invariant |
L |
4.8801859899824 |
L(r)(E,1)/r! |
Ω |
0.067780360995989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715d1 |
Quadratic twists by: -7 |