Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ce |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
56031004241952768 = 222 · 315 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4493100,-3665769424] |
[a1,a2,a3,a4,a6] |
Generators |
[12415453311170:510036534058752:3702294323] |
Generators of the group modulo torsion |
j |
52492168638015625/293197968 |
j-invariant |
L |
7.9828710751233 |
L(r)(E,1)/r! |
Ω |
0.1036962805511 |
Real period |
R |
19.245798958495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ef1 2394n1 25536m1 |
Quadratic twists by: -4 8 -3 |