Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43320m |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
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] |
Generators |
[44:285:1] |
Generators of the group modulo torsion |
j |
-92416/15 |
j-invariant |
L |
6.9382872382136 |
L(r)(E,1)/r! |
Ω |
0.71436693200054 |
Real period |
R |
1.6187496293124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640c1 129960by1 43320v1 |
Quadratic twists by: -4 -3 -19 |