Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320c |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-41189609733120 = -1 · 210 · 32 · 5 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8544,51516] |
[a1,a2,a3,a4,a6] |
j |
1431644/855 |
j-invariant |
L |
0.78770305696163 |
L(r)(E,1)/r! |
Ω |
0.39385152846115 |
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 |
86640t1 129960cr1 2280h1 |
Quadratic twists by: -4 -3 -19 |