Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910cj |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
1309134070944000 = 28 · 38 · 53 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44372441,-113771166279] |
[a1,a2,a3,a4,a6] |
Generators |
[-18895330:9433223:4913] |
Generators of the group modulo torsion |
j |
82125009821717833875841/11127456000 |
j-invariant |
L |
13.098507423669 |
L(r)(E,1)/r! |
Ω |
0.058495333919239 |
Real period |
R |
6.9976240750526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590q1 |
Quadratic twists by: -7 |