Atkin-Lehner |
2- 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36660f |
Isogeny class |
Conductor |
36660 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-1547965755339120 = -1 · 24 · 38 · 5 · 137 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 4 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28774,241989] |
[a1,a2,a3,a4,a6] |
j |
164660471207465216/96747859708695 |
j-invariant |
L |
2.3122747268038 |
L(r)(E,1)/r! |
Ω |
0.28903434085298 |
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 |
109980q1 |
Quadratic twists by: -3 |