Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920k |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-164228400000000 = -1 · 210 · 32 · 58 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6560,651792] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:840:1] |
Generators of the group modulo torsion |
j |
-30493092792964/160379296875 |
j-invariant |
L |
5.0186279206861 |
L(r)(E,1)/r! |
Ω |
0.49720479795365 |
Real period |
R |
0.63085522572152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960i4 127680fo3 95760z3 |
Quadratic twists by: -4 8 -3 |