Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390l |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2939130671954490000 = 24 · 318 · 54 · 132 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-360945,-12678579] |
[a1,a2,a3,a4,a6] |
Generators |
[20586:325757:27] |
Generators of the group modulo torsion |
j |
7133783926582843921/4031729316810000 |
j-invariant |
L |
4.6626027931473 |
L(r)(E,1)/r! |
Ω |
0.20994776834772 |
Real period |
R |
5.5520985424937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969427 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26130bf2 |
Quadratic twists by: -3 |