Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645i |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29105052460146045 = 36 · 5 · 418 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-416363,-102978034] |
[a1,a2,a3,a4,a6] |
j |
2305199161/8405 |
j-invariant |
L |
1.5038926162575 |
L(r)(E,1)/r! |
Ω |
0.18798657395565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8405b2 1845d2 |
Quadratic twists by: -3 41 |