Atkin-Lehner |
2+ 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240c |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
16973763840 = 28 · 35 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2001,-33219] |
[a1,a2,a3,a4,a6] |
j |
3462916609024/66303765 |
j-invariant |
L |
0.71461964362375 |
L(r)(E,1)/r! |
Ω |
0.71461936038069 |
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 |
54120m1 |
Quadratic twists by: -4 |