Atkin-Lehner |
2+ 3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642y |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
27748685708347968 = 26 · 37 · 76 · 134 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-939636,-350253936] |
[a1,a2,a3,a4,a6] |
Generators |
[10830:228819:8] |
Generators of the group modulo torsion |
j |
125856423485551515457/38064040752192 |
j-invariant |
L |
6.7305234010573 |
L(r)(E,1)/r! |
Ω |
0.15334425275857 |
Real period |
R |
3.6576326713717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32214be1 |
Quadratic twists by: -3 |