Atkin-Lehner |
3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61005k |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-586259520769545 = -1 · 3 · 5 · 77 · 834 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20408,-304499] |
[a1,a2,a3,a4,a6] |
j |
7989204859271/4983123705 |
j-invariant |
L |
1.1900900532544 |
L(r)(E,1)/r! |
Ω |
0.29752251331103 |
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 |
8715h4 |
Quadratic twists by: -7 |