Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050eh |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-365949351144000000 = -1 · 29 · 36 · 56 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17473280,28117549347] |
[a1,a2,a3,a4,a6] |
Generators |
[2415:-1039:1] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
10.626918658104 |
L(r)(E,1)/r! |
Ω |
0.24916096203775 |
Real period |
R |
1.1847449235459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450c3 3042f3 5850i3 |
Quadratic twists by: -3 5 13 |