Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400bo |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-272706750000 = -1 · 24 · 35 · 56 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1467,12312] |
[a1,a2,a3,a4,a6] |
j |
1395654656/1090827 |
j-invariant |
L |
0.62869206923052 |
L(r)(E,1)/r! |
Ω |
0.62869206260114 |
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 |
20100i1 3216m1 |
Quadratic twists by: -4 5 |