Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450ck |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
208320 |
Modular degree for the optimal curve |
Δ |
-171713520000 = -1 · 27 · 35 · 54 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10063,388217] |
[a1,a2,a3,a4,a6] |
Generators |
[122:929:1] |
Generators of the group modulo torsion |
j |
-180313735329025/274741632 |
j-invariant |
L |
13.843605841569 |
L(r)(E,1)/r! |
Ω |
1.0161485202311 |
Real period |
R |
0.064874308273008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450b1 |
Quadratic twists by: 5 |