Atkin-Lehner |
3- 5- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
121545m |
Isogeny class |
Conductor |
121545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
137664 |
Modular degree for the optimal curve |
Δ |
-6645472875 = -1 · 39 · 53 · 37 · 73 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 3 2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2217,-40370] |
[a1,a2,a3,a4,a6] |
j |
-1653077684224/9115875 |
j-invariant |
L |
2.0865856206384 |
L(r)(E,1)/r! |
Ω |
0.3477642542808 |
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 |
40515c1 |
Quadratic twists by: -3 |