Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
780c |
Isogeny class |
Conductor |
780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2190240000 = -1 · 28 · 34 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,324,324] |
[a1,a2,a3,a4,a6] |
Generators |
[12:78:1] |
Generators of the group modulo torsion |
j |
14647977776/8555625 |
j-invariant |
L |
2.3706082460728 |
L(r)(E,1)/r! |
Ω |
0.88476360205859 |
Real period |
R |
0.22328075738321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3120n2 12480r2 2340h2 3900d2 |
Quadratic twists by: -4 8 -3 5 |