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 |
deg |
86184 |
Modular degree for the optimal curve |
Δ |
-799779977000 = -1 · 23 · 53 · 17 · 196 |
Discriminant |
Eigenvalues |
2- -1 5- 2 0 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910,-44685] |
[a1,a2,a3,a4,a6] |
j |
-1771561/17000 |
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 |
170d1 |
Quadratic twists by: -19 |