Atkin-Lehner |
2- 3+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bj |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-20809696207060800 = -1 · 26 · 39 · 52 · 133 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -3 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-205472,-36463229] |
[a1,a2,a3,a4,a6] |
Generators |
[2431:-118801:1] |
Generators of the group modulo torsion |
j |
-48740320745120187/1057242097600 |
j-invariant |
L |
8.5907437083565 |
L(r)(E,1)/r! |
Ω |
0.11197574001775 |
Real period |
R |
0.35518373540772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78390b1 |
Quadratic twists by: -3 |