Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005x |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-11725275516206805 = -1 · 310 · 5 · 78 · 832 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,43437,3876583] |
[a1,a2,a3,a4,a6] |
j |
77042313010151/99663197445 |
j-invariant |
L |
5.4093999736097 |
L(r)(E,1)/r! |
Ω |
0.27046999877416 |
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 |
8715a2 |
Quadratic twists by: -7 |