Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640c |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-31277040 = -1 · 24 · 3 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,615] |
[a1,a2,a3,a4,a6] |
j |
-92416/15 |
j-invariant |
L |
2.0092006565044 |
L(r)(E,1)/r! |
Ω |
2.0092007159212 |
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 |
43320m1 86640bd1 |
Quadratic twists by: -4 -19 |