Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100s |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
5353338053250000 = 24 · 314 · 56 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55533,-3621312] |
[a1,a2,a3,a4,a6] |
j |
75760866033664/21413352213 |
j-invariant |
L |
4.4473725418542 |
L(r)(E,1)/r! |
Ω |
0.31766939973502 |
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 |
4884b1 |
Quadratic twists by: 5 |