Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dt |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25225482240000 = 215 · 33 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23521,-1359455] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:88:1] |
Generators of the group modulo torsion |
j |
43919722445768/769820625 |
j-invariant |
L |
5.4418421817085 |
L(r)(E,1)/r! |
Ω |
0.38591882213478 |
Real period |
R |
3.5252505306473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fc3 63840y3 |
Quadratic twists by: -4 8 |