Atkin-Lehner |
7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
60137b |
Isogeny class |
Conductor |
60137 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
177600 |
Modular degree for the optimal curve |
Δ |
-23253982692787 = -1 · 75 · 117 · 71 |
Discriminant |
Eigenvalues |
0 0 4 7- 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4598,-261209] |
[a1,a2,a3,a4,a6] |
j |
-6068404224/13126267 |
j-invariant |
L |
2.7157004037399 |
L(r)(E,1)/r! |
Ω |
0.27157004091397 |
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 |
5467a1 |
Quadratic twists by: -11 |