Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040bx |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-11413376000 = -1 · 210 · 53 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -6 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4085,99275] |
[a1,a2,a3,a4,a6] |
Generators |
[35:20:1] [38:19:1] |
Generators of the group modulo torsion |
j |
-7363872292864/11145875 |
j-invariant |
L |
12.795277631815 |
L(r)(E,1)/r! |
Ω |
1.2736436927029 |
Real period |
R |
0.55812215095589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040t2 19760s2 |
Quadratic twists by: -4 8 |