Atkin-Lehner |
3+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61065d |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
21067425 = 33 · 52 · 232 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69,0] |
[a1,a2,a3,a4,a6] |
j |
1356572043/780275 |
j-invariant |
L |
3.6006339923919 |
L(r)(E,1)/r! |
Ω |
1.8003169953776 |
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 |
61065c1 |
Quadratic twists by: -3 |