Atkin-Lehner |
2+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
60736c |
Isogeny class |
Conductor |
60736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2690746679296 = -1 · 224 · 133 · 73 |
Discriminant |
Eigenvalues |
2+ 2 -3 -4 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1217,-80191] |
[a1,a2,a3,a4,a6] |
j |
-761048497/10264384 |
j-invariant |
L |
0.69129658336078 |
L(r)(E,1)/r! |
Ω |
0.3456482947324 |
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 |
60736h1 1898b1 |
Quadratic twists by: -4 8 |