Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850fk |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
45196767000 = 23 · 32 · 53 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1758,25731] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:245:1] |
Generators of the group modulo torsion |
j |
14014952531/1054152 |
j-invariant |
L |
8.4693332853029 |
L(r)(E,1)/r! |
Ω |
1.1125656901879 |
Real period |
R |
0.31718476501906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850dj2 80850hn2 |
Quadratic twists by: 5 -7 |