Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370w |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-591709218183680 = -1 · 29 · 5 · 173 · 196 |
Discriminant |
Eigenvalues |
2- -1 5- 2 0 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8115,1139395] |
[a1,a2,a3,a4,a6] |
j |
1256216039/12577280 |
j-invariant |
L |
3.4118385495815 |
L(r)(E,1)/r! |
Ω |
0.37909317288226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
170d2 |
Quadratic twists by: -19 |