Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dy |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9461760 |
Modular degree for the optimal curve |
Δ |
4323379956940800 = 220 · 311 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112192801,-457362014015] |
[a1,a2,a3,a4,a6] |
Generators |
[-7933959890529069570717:-2398846873388239540:1297457805114291241] |
Generators of the group modulo torsion |
j |
595770186172725915913801/16492385700 |
j-invariant |
L |
5.5119913293034 |
L(r)(E,1)/r! |
Ω |
0.04638828392757 |
Real period |
R |
29.705729842917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680cl1 31920cg1 |
Quadratic twists by: -4 8 |