Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cc |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.1560463424644E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12213563,-1524761719] |
[a1,a2,a3,a4,a6] |
Generators |
[-830375:-39968734:343] |
Generators of the group modulo torsion |
j |
87109155423289/49979073600 |
j-invariant |
L |
9.4144942188804 |
L(r)(E,1)/r! |
Ω |
0.087675015463277 |
Real period |
R |
8.9482868134388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002149 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15870p2 3450o2 |
Quadratic twists by: 5 -23 |